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Finding the Fourth Proportional to 1,327.28, 1,990.92 and 678.47

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Solution

The fourth proportional to 1,327.28, 1,990.92 and 678.47 is: 1,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.28 : 1,990.92 = 678.47 : x
  2. Step 2: Convert to fraction form
    1,327.28/1,990.92 = 678.47/x
  3. Step 3: Cross multiply
    1,327.28x = 1,990.92 × 678.47
  4. Step 4: Simplify right side
    1,327.28x = 1,350,779.49
  5. Step 5: Solve for x
    x = 1,350,779.49/1,327.28
  6. Step 6: Final answer
    x = 1,017.71

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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.