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Finding the Fourth Proportional to 932.85, 1,397.12 and 714.69

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Solution

The fourth proportional to 932.85, 1,397.12 and 714.69 is: 1,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.85 : 1,397.12 = 714.69 : x
  2. Step 2: Convert to fraction form
    932.85/1,397.12 = 714.69/x
  3. Step 3: Cross multiply
    932.85x = 1,397.12 × 714.69
  4. Step 4: Simplify right side
    932.85x = 998,504.12
  5. Step 5: Solve for x
    x = 998,504.12/932.85
  6. Step 6: Final answer
    x = 1,070.38

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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.