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Finding the Fourth Proportional to 987.25, 1,362.41 and 725.76

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Solution

The fourth proportional to 987.25, 1,362.41 and 725.76 is: 1,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.25 : 1,362.41 = 725.76 : x
  2. Step 2: Convert to fraction form
    987.25/1,362.41 = 725.76/x
  3. Step 3: Cross multiply
    987.25x = 1,362.41 × 725.76
  4. Step 4: Simplify right side
    987.25x = 988,782.68
  5. Step 5: Solve for x
    x = 988,782.68/987.25
  6. Step 6: Final answer
    x = 1,001.55

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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.