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Finding the Fourth Proportional to 686.82, 948.18 and 546.78

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Solution

The fourth proportional to 686.82, 948.18 and 546.78 is: 754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.82 : 948.18 = 546.78 : x
  2. Step 2: Convert to fraction form
    686.82/948.18 = 546.78/x
  3. Step 3: Cross multiply
    686.82x = 948.18 × 546.78
  4. Step 4: Simplify right side
    686.82x = 518,445.86
  5. Step 5: Solve for x
    x = 518,445.86/686.82
  6. Step 6: Final answer
    x = 754.85

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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.