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Finding the Fourth Proportional to 725.27, 1,000.86 and 414.75

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Solution

The fourth proportional to 725.27, 1,000.86 and 414.75 is: 572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.27 : 1,000.86 = 414.75 : x
  2. Step 2: Convert to fraction form
    725.27/1,000.86 = 414.75/x
  3. Step 3: Cross multiply
    725.27x = 1,000.86 × 414.75
  4. Step 4: Simplify right side
    725.27x = 415,104.61
  5. Step 5: Solve for x
    x = 415,104.61/725.27
  6. Step 6: Final answer
    x = 572.34

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Double scale
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1.5x scale

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.