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Finding the Fourth Proportional to 932.68, 1,399.12 and 283.32

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Solution

The fourth proportional to 932.68, 1,399.12 and 283.32 is: 425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.68 : 1,399.12 = 283.32 : x
  2. Step 2: Convert to fraction form
    932.68/1,399.12 = 283.32/x
  3. Step 3: Cross multiply
    932.68x = 1,399.12 × 283.32
  4. Step 4: Simplify right side
    932.68x = 396,398.68
  5. Step 5: Solve for x
    x = 396,398.68/932.68
  6. Step 6: Final answer
    x = 425.01

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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.