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Finding the Fourth Proportional to 987.13, 1,480.35 and 467.38

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Solution

The fourth proportional to 987.13, 1,480.35 and 467.38 is: 700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.13 : 1,480.35 = 467.38 : x
  2. Step 2: Convert to fraction form
    987.13/1,480.35 = 467.38/x
  3. Step 3: Cross multiply
    987.13x = 1,480.35 × 467.38
  4. Step 4: Simplify right side
    987.13x = 691,885.42
  5. Step 5: Solve for x
    x = 691,885.42/987.13
  6. Step 6: Final answer
    x = 700.91

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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.