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Finding the Fourth Proportional to 725.59, 1,001.24 and 410.77

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Solution

The fourth proportional to 725.59, 1,001.24 and 410.77 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.59 : 1,001.24 = 410.77 : x
  2. Step 2: Convert to fraction form
    725.59/1,001.24 = 410.77/x
  3. Step 3: Cross multiply
    725.59x = 1,001.24 × 410.77
  4. Step 4: Simplify right side
    725.59x = 411,274.35
  5. Step 5: Solve for x
    x = 411,274.35/725.59
  6. Step 6: Final answer
    x = 566.82

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Half scale
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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.