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Finding the Fourth Proportional to 732.02, 1,009.50 and 566.60

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Solution

The fourth proportional to 732.02, 1,009.50 and 566.60 is: 781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.02 : 1,009.50 = 566.60 : x
  2. Step 2: Convert to fraction form
    732.02/1,009.50 = 566.60/x
  3. Step 3: Cross multiply
    732.02x = 1,009.50 × 566.60
  4. Step 4: Simplify right side
    732.02x = 571,982.70
  5. Step 5: Solve for x
    x = 571,982.70/732.02
  6. Step 6: Final answer
    x = 781.38

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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.