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Finding the Fourth Proportional to 987.55, 1,480.98 and 329.31

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Solution

The fourth proportional to 987.55, 1,480.98 and 329.31 is: 493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.55 : 1,480.98 = 329.31 : x
  2. Step 2: Convert to fraction form
    987.55/1,480.98 = 329.31/x
  3. Step 3: Cross multiply
    987.55x = 1,480.98 × 329.31
  4. Step 4: Simplify right side
    987.55x = 487,701.52
  5. Step 5: Solve for x
    x = 487,701.52/987.55
  6. Step 6: Final answer
    x = 493.85

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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.