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Finding the Fourth Proportional to 686.62, 947.50 and 406.79

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Solution

The fourth proportional to 686.62, 947.50 and 406.79 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 947.50 = 406.79 : x
  2. Step 2: Convert to fraction form
    686.62/947.50 = 406.79/x
  3. Step 3: Cross multiply
    686.62x = 947.50 × 406.79
  4. Step 4: Simplify right side
    686.62x = 385,433.53
  5. Step 5: Solve for x
    x = 385,433.53/686.62
  6. Step 6: Final answer
    x = 561.35

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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.