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Finding the Fourth Proportional to 725.57, 1,001.30 and 445.95

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Solution

The fourth proportional to 725.57, 1,001.30 and 445.95 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.57 : 1,001.30 = 445.95 : x
  2. Step 2: Convert to fraction form
    725.57/1,001.30 = 445.95/x
  3. Step 3: Cross multiply
    725.57x = 1,001.30 × 445.95
  4. Step 4: Simplify right side
    725.57x = 446,527.51
  5. Step 5: Solve for x
    x = 446,527.51/725.57
  6. Step 6: Final answer
    x = 615.42

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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.