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Finding the Fourth Proportional to 1,318.28, 1,978.02 and 587.76

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Solution

The fourth proportional to 1,318.28, 1,978.02 and 587.76 is: 881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.28 : 1,978.02 = 587.76 : x
  2. Step 2: Convert to fraction form
    1,318.28/1,978.02 = 587.76/x
  3. Step 3: Cross multiply
    1,318.28x = 1,978.02 × 587.76
  4. Step 4: Simplify right side
    1,318.28x = 1,162,593.62
  5. Step 5: Solve for x
    x = 1,162,593.62/1,318.28
  6. Step 6: Final answer
    x = 881.91

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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.