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Finding the Fourth Proportional to 725.94, 1,001.72 and 477.74

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Solution

The fourth proportional to 725.94, 1,001.72 and 477.74 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,001.72 = 477.74 : x
  2. Step 2: Convert to fraction form
    725.94/1,001.72 = 477.74/x
  3. Step 3: Cross multiply
    725.94x = 1,001.72 × 477.74
  4. Step 4: Simplify right side
    725.94x = 478,561.71
  5. Step 5: Solve for x
    x = 478,561.71/725.94
  6. Step 6: Final answer
    x = 659.23

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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.