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Finding the Fourth Proportional to 932.85, 1,399.17 and 567.54

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Solution

The fourth proportional to 932.85, 1,399.17 and 567.54 is: 851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.85 : 1,399.17 = 567.54 : x
  2. Step 2: Convert to fraction form
    932.85/1,399.17 = 567.54/x
  3. Step 3: Cross multiply
    932.85x = 1,399.17 × 567.54
  4. Step 4: Simplify right side
    932.85x = 794,084.94
  5. Step 5: Solve for x
    x = 794,084.94/932.85
  6. Step 6: Final answer
    x = 851.25

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Why These Related Problems?

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