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Finding the Fourth Proportional to 686.62, 947.65 and 521.38

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Solution

The fourth proportional to 686.62, 947.65 and 521.38 is: 719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 947.65 = 521.38 : x
  2. Step 2: Convert to fraction form
    686.62/947.65 = 521.38/x
  3. Step 3: Cross multiply
    686.62x = 947.65 × 521.38
  4. Step 4: Simplify right side
    686.62x = 494,081.02
  5. Step 5: Solve for x
    x = 494,081.02/686.62
  6. Step 6: Final answer
    x = 719.59

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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.