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Finding the Fourth Proportional to 795.34, 1,193.00 and 362.19

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Solution

The fourth proportional to 795.34, 1,193.00 and 362.19 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.34 : 1,193.00 = 362.19 : x
  2. Step 2: Convert to fraction form
    795.34/1,193.00 = 362.19/x
  3. Step 3: Cross multiply
    795.34x = 1,193.00 × 362.19
  4. Step 4: Simplify right side
    795.34x = 432,090.59
  5. Step 5: Solve for x
    x = 432,090.59/795.34
  6. Step 6: Final answer
    x = 543.28

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.