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Finding the Fourth Proportional to 987.12, 1,480.74 and 256.71

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Solution

The fourth proportional to 987.12, 1,480.74 and 256.71 is: 385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.12 : 1,480.74 = 256.71 : x
  2. Step 2: Convert to fraction form
    987.12/1,480.74 = 256.71/x
  3. Step 3: Cross multiply
    987.12x = 1,480.74 × 256.71
  4. Step 4: Simplify right side
    987.12x = 380,120.77
  5. Step 5: Solve for x
    x = 380,120.77/987.12
  6. Step 6: Final answer
    x = 385.08

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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.