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Finding the Fourth Proportional to 725.66, 1,001.79 and 460.19

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Solution

The fourth proportional to 725.66, 1,001.79 and 460.19 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.66 : 1,001.79 = 460.19 : x
  2. Step 2: Convert to fraction form
    725.66/1,001.79 = 460.19/x
  3. Step 3: Cross multiply
    725.66x = 1,001.79 × 460.19
  4. Step 4: Simplify right side
    725.66x = 461,013.74
  5. Step 5: Solve for x
    x = 461,013.74/725.66
  6. Step 6: Final answer
    x = 635.30

Related Problems

Find fourth proportional to 362.83, 500.90 and 230.10
Half scale
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Double scale
Find fourth proportional to 726.66, 1,003.17 and 461.19
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.