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Finding the Fourth Proportional to 987.24, 1,480.80 and 256.78

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Solution

The fourth proportional to 987.24, 1,480.80 and 256.78 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.24 : 1,480.80 = 256.78 : x
  2. Step 2: Convert to fraction form
    987.24/1,480.80 = 256.78/x
  3. Step 3: Cross multiply
    987.24x = 1,480.80 × 256.78
  4. Step 4: Simplify right side
    987.24x = 380,239.82
  5. Step 5: Solve for x
    x = 380,239.82/987.24
  6. Step 6: Final answer
    x = 385.15

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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.