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Finding the Fourth Proportional to 987.89, 1,481.51 and 500.87

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Solution

The fourth proportional to 987.89, 1,481.51 and 500.87 is: 751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.89 : 1,481.51 = 500.87 : x
  2. Step 2: Convert to fraction form
    987.89/1,481.51 = 500.87/x
  3. Step 3: Cross multiply
    987.89x = 1,481.51 × 500.87
  4. Step 4: Simplify right side
    987.89x = 742,034.00
  5. Step 5: Solve for x
    x = 742,034.00/987.89
  6. Step 6: Final answer
    x = 751.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.