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Finding the Fourth Proportional to 987.18, 1,481.64 and 500.50

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Solution

The fourth proportional to 987.18, 1,481.64 and 500.50 is: 751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.18 : 1,481.64 = 500.50 : x
  2. Step 2: Convert to fraction form
    987.18/1,481.64 = 500.50/x
  3. Step 3: Cross multiply
    987.18x = 1,481.64 × 500.50
  4. Step 4: Simplify right side
    987.18x = 741,560.82
  5. Step 5: Solve for x
    x = 741,560.82/987.18
  6. Step 6: Final answer
    x = 751.19

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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.