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Finding the Fourth Proportional to 725.66, 1,001.54 and 430.95

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Solution

The fourth proportional to 725.66, 1,001.54 and 430.95 is: 594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.66 : 1,001.54 = 430.95 : x
  2. Step 2: Convert to fraction form
    725.66/1,001.54 = 430.95/x
  3. Step 3: Cross multiply
    725.66x = 1,001.54 × 430.95
  4. Step 4: Simplify right side
    725.66x = 431,608.83
  5. Step 5: Solve for x
    x = 431,608.83/725.66
  6. Step 6: Final answer
    x = 594.78

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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.