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Finding the Fourth Proportional to 932.23, 1,398.86 and 567.28

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Solution

The fourth proportional to 932.23, 1,398.86 and 567.28 is: 851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.23 : 1,398.86 = 567.28 : x
  2. Step 2: Convert to fraction form
    932.23/1,398.86 = 567.28/x
  3. Step 3: Cross multiply
    932.23x = 1,398.86 × 567.28
  4. Step 4: Simplify right side
    932.23x = 793,545.30
  5. Step 5: Solve for x
    x = 793,545.30/932.23
  6. Step 6: Final answer
    x = 851.23

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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.