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Finding the Fourth Proportional to 725.59, 1,000.78 and 460.11

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Solution

The fourth proportional to 725.59, 1,000.78 and 460.11 is: 634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.59 : 1,000.78 = 460.11 : x
  2. Step 2: Convert to fraction form
    725.59/1,000.78 = 460.11/x
  3. Step 3: Cross multiply
    725.59x = 1,000.78 × 460.11
  4. Step 4: Simplify right side
    725.59x = 460,468.89
  5. Step 5: Solve for x
    x = 460,468.89/725.59
  6. Step 6: Final answer
    x = 634.61

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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.