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Finding the Fourth Proportional to 686.61, 947.90 and 477.43

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Solution

The fourth proportional to 686.61, 947.90 and 477.43 is: 659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.61 : 947.90 = 477.43 : x
  2. Step 2: Convert to fraction form
    686.61/947.90 = 477.43/x
  3. Step 3: Cross multiply
    686.61x = 947.90 × 477.43
  4. Step 4: Simplify right side
    686.61x = 452,554.72
  5. Step 5: Solve for x
    x = 452,554.72/686.61
  6. Step 6: Final answer
    x = 659.11

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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.