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Finding the Fourth Proportional to 987.58, 1,480.88 and 576.82

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Solution

The fourth proportional to 987.58, 1,480.88 and 576.82 is: 864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.58 : 1,480.88 = 576.82 : x
  2. Step 2: Convert to fraction form
    987.58/1,480.88 = 576.82/x
  3. Step 3: Cross multiply
    987.58x = 1,480.88 × 576.82
  4. Step 4: Simplify right side
    987.58x = 854,201.20
  5. Step 5: Solve for x
    x = 854,201.20/987.58
  6. Step 6: Final answer
    x = 864.94

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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.