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Finding the Fourth Proportional to 715.72, 1,064.22 and 686.56

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Solution

The fourth proportional to 715.72, 1,064.22 and 686.56 is: 1,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.72 : 1,064.22 = 686.56 : x
  2. Step 2: Convert to fraction form
    715.72/1,064.22 = 686.56/x
  3. Step 3: Cross multiply
    715.72x = 1,064.22 × 686.56
  4. Step 4: Simplify right side
    715.72x = 730,650.88
  5. Step 5: Solve for x
    x = 730,650.88/715.72
  6. Step 6: Final answer
    x = 1,020.86

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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.