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Finding the Fourth Proportional to 691.14, 953.29 and 469.71

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Solution

The fourth proportional to 691.14, 953.29 and 469.71 is: 647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.14 : 953.29 = 469.71 : x
  2. Step 2: Convert to fraction form
    691.14/953.29 = 469.71/x
  3. Step 3: Cross multiply
    691.14x = 953.29 × 469.71
  4. Step 4: Simplify right side
    691.14x = 447,769.85
  5. Step 5: Solve for x
    x = 447,769.85/691.14
  6. Step 6: Final answer
    x = 647.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.