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Finding the Fourth Proportional to 732.20, 1,009.74 and 566.14

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Solution

The fourth proportional to 732.20, 1,009.74 and 566.14 is: 780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.20 : 1,009.74 = 566.14 : x
  2. Step 2: Convert to fraction form
    732.20/1,009.74 = 566.14/x
  3. Step 3: Cross multiply
    732.20x = 1,009.74 × 566.14
  4. Step 4: Simplify right side
    732.20x = 571,654.20
  5. Step 5: Solve for x
    x = 571,654.20/732.20
  6. Step 6: Final answer
    x = 780.74

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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.