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Finding the Fourth Proportional to 1,327.17, 1,990.15 and 402.56

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Solution

The fourth proportional to 1,327.17, 1,990.15 and 402.56 is: 603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.17 : 1,990.15 = 402.56 : x
  2. Step 2: Convert to fraction form
    1,327.17/1,990.15 = 402.56/x
  3. Step 3: Cross multiply
    1,327.17x = 1,990.15 × 402.56
  4. Step 4: Simplify right side
    1,327.17x = 801,154.78
  5. Step 5: Solve for x
    x = 801,154.78/1,327.17
  6. Step 6: Final answer
    x = 603.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.