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Finding the Fourth Proportional to 1,193.32, 1,645.68 and 795.21

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Solution

The fourth proportional to 1,193.32, 1,645.68 and 795.21 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.32 : 1,645.68 = 795.21 : x
  2. Step 2: Convert to fraction form
    1,193.32/1,645.68 = 795.21/x
  3. Step 3: Cross multiply
    1,193.32x = 1,645.68 × 795.21
  4. Step 4: Simplify right side
    1,193.32x = 1,308,652.96
  5. Step 5: Solve for x
    x = 1,308,652.96/1,193.32
  6. Step 6: Final answer
    x = 1,096.65

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,194.32, 1,647.06 and 796.21
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.