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Finding the Fourth Proportional to 1,008.20, 1,390.82 and 614.54

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Solution

The fourth proportional to 1,008.20, 1,390.82 and 614.54 is: 847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,390.82 = 614.54 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,390.82 = 614.54/x
  3. Step 3: Cross multiply
    1,008.20x = 1,390.82 × 614.54
  4. Step 4: Simplify right side
    1,008.20x = 854,704.50
  5. Step 5: Solve for x
    x = 854,704.50/1,008.20
  6. Step 6: Final answer
    x = 847.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.