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Finding the Fourth Proportional to 1,387.89, 2,082.20 and 694.53

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Solution

The fourth proportional to 1,387.89, 2,082.20 and 694.53 is: 1,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.89 : 2,082.20 = 694.53 : x
  2. Step 2: Convert to fraction form
    1,387.89/2,082.20 = 694.53/x
  3. Step 3: Cross multiply
    1,387.89x = 2,082.20 × 694.53
  4. Step 4: Simplify right side
    1,387.89x = 1,446,146.89
  5. Step 5: Solve for x
    x = 1,446,146.89/1,387.89
  6. Step 6: Final answer
    x = 1,041.98

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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.