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Finding the Fourth Proportional to 1,193.58, 1,647.06 and 696.18

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Solution

The fourth proportional to 1,193.58, 1,647.06 and 696.18 is: 960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.58 : 1,647.06 = 696.18 : x
  2. Step 2: Convert to fraction form
    1,193.58/1,647.06 = 696.18/x
  3. Step 3: Cross multiply
    1,193.58x = 1,647.06 × 696.18
  4. Step 4: Simplify right side
    1,193.58x = 1,146,650.23
  5. Step 5: Solve for x
    x = 1,146,650.23/1,193.58
  6. Step 6: Final answer
    x = 960.68

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Half scale
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Double scale
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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.