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Finding the Fourth Proportional to 932.90, 1,397.52 and 566.60

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Solution

The fourth proportional to 932.90, 1,397.52 and 566.60 is: 848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.90 : 1,397.52 = 566.60 : x
  2. Step 2: Convert to fraction form
    932.90/1,397.52 = 566.60/x
  3. Step 3: Cross multiply
    932.90x = 1,397.52 × 566.60
  4. Step 4: Simplify right side
    932.90x = 791,834.83
  5. Step 5: Solve for x
    x = 791,834.83/932.90
  6. Step 6: Final answer
    x = 848.79

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