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Finding the Fourth Proportional to 1,387.88, 2,082.26 and 497.81

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Solution

The fourth proportional to 1,387.88, 2,082.26 and 497.81 is: 746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.88 : 2,082.26 = 497.81 : x
  2. Step 2: Convert to fraction form
    1,387.88/2,082.26 = 497.81/x
  3. Step 3: Cross multiply
    1,387.88x = 2,082.26 × 497.81
  4. Step 4: Simplify right side
    1,387.88x = 1,036,568.80
  5. Step 5: Solve for x
    x = 1,036,568.80/1,387.88
  6. Step 6: Final answer
    x = 746.87

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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.