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Finding the Fourth Proportional to 714.85, 1,073.18 and 711.20

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Solution

The fourth proportional to 714.85, 1,073.18 and 711.20 is: 1,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.85 : 1,073.18 = 711.20 : x
  2. Step 2: Convert to fraction form
    714.85/1,073.18 = 711.20/x
  3. Step 3: Cross multiply
    714.85x = 1,073.18 × 711.20
  4. Step 4: Simplify right side
    714.85x = 763,250.08
  5. Step 5: Solve for x
    x = 763,250.08/714.85
  6. Step 6: Final answer
    x = 1,067.71

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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.