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Finding the Fourth Proportional to 717.29, 1,067.36 and 714.86

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Solution

The fourth proportional to 717.29, 1,067.36 and 714.86 is: 1,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.29 : 1,067.36 = 714.86 : x
  2. Step 2: Convert to fraction form
    717.29/1,067.36 = 714.86/x
  3. Step 3: Cross multiply
    717.29x = 1,067.36 × 714.86
  4. Step 4: Simplify right side
    717.29x = 763,017.43
  5. Step 5: Solve for x
    x = 763,017.43/717.29
  6. Step 6: Final answer
    x = 1,063.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.