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Finding the Fourth Proportional to 1,248.69, 1,871.28 and 987.54

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Solution

The fourth proportional to 1,248.69, 1,871.28 and 987.54 is: 1,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.69 : 1,871.28 = 987.54 : x
  2. Step 2: Convert to fraction form
    1,248.69/1,871.28 = 987.54/x
  3. Step 3: Cross multiply
    1,248.69x = 1,871.28 × 987.54
  4. Step 4: Simplify right side
    1,248.69x = 1,847,963.85
  5. Step 5: Solve for x
    x = 1,847,963.85/1,248.69
  6. Step 6: Final answer
    x = 1,479.92

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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.