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Finding the Fourth Proportional to 932.99, 1,287.62 and 560.16

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Solution

The fourth proportional to 932.99, 1,287.62 and 560.16 is: 773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.99 : 1,287.62 = 560.16 : x
  2. Step 2: Convert to fraction form
    932.99/1,287.62 = 560.16/x
  3. Step 3: Cross multiply
    932.99x = 1,287.62 × 560.16
  4. Step 4: Simplify right side
    932.99x = 721,270.42
  5. Step 5: Solve for x
    x = 721,270.42/932.99
  6. Step 6: Final answer
    x = 773.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.