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Finding the Fourth Proportional to 932.57, 1,397.25 and 671.33

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Solution

The fourth proportional to 932.57, 1,397.25 and 671.33 is: 1,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.57 : 1,397.25 = 671.33 : x
  2. Step 2: Convert to fraction form
    932.57/1,397.25 = 671.33/x
  3. Step 3: Cross multiply
    932.57x = 1,397.25 × 671.33
  4. Step 4: Simplify right side
    932.57x = 938,008.86
  5. Step 5: Solve for x
    x = 938,008.86/932.57
  6. Step 6: Final answer
    x = 1,005.84

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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.