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Finding the Fourth Proportional to 634.08, 871.92 and 527.76

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Solution

The fourth proportional to 634.08, 871.92 and 527.76 is: 725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 871.92 = 527.76 : x
  2. Step 2: Convert to fraction form
    634.08/871.92 = 527.76/x
  3. Step 3: Cross multiply
    634.08x = 871.92 × 527.76
  4. Step 4: Simplify right side
    634.08x = 460,164.50
  5. Step 5: Solve for x
    x = 460,164.50/634.08
  6. Step 6: Final answer
    x = 725.72

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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.