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Finding the Fourth Proportional to 725.71, 1,001.63 and 446.18

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Solution

The fourth proportional to 725.71, 1,001.63 and 446.18 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.71 : 1,001.63 = 446.18 : x
  2. Step 2: Convert to fraction form
    725.71/1,001.63 = 446.18/x
  3. Step 3: Cross multiply
    725.71x = 1,001.63 × 446.18
  4. Step 4: Simplify right side
    725.71x = 446,904.63
  5. Step 5: Solve for x
    x = 446,904.63/725.71
  6. Step 6: Final answer
    x = 615.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.