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Finding the Fourth Proportional to 725.92, 1,001.69 and 411.19

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Solution

The fourth proportional to 725.92, 1,001.69 and 411.19 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.92 : 1,001.69 = 411.19 : x
  2. Step 2: Convert to fraction form
    725.92/1,001.69 = 411.19/x
  3. Step 3: Cross multiply
    725.92x = 1,001.69 × 411.19
  4. Step 4: Simplify right side
    725.92x = 411,879.90
  5. Step 5: Solve for x
    x = 411,879.90/725.92
  6. Step 6: Final answer
    x = 567.39

Related Problems

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Half scale
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Double scale
Find fourth proportional to 726.92, 1,003.07 and 412.19
Similar ratio
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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.