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Finding the Fourth Proportional to 1,687.67, 2,531.20 and 454.80

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Solution

The fourth proportional to 1,687.67, 2,531.20 and 454.80 is: 682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.67 : 2,531.20 = 454.80 : x
  2. Step 2: Convert to fraction form
    1,687.67/2,531.20 = 454.80/x
  3. Step 3: Cross multiply
    1,687.67x = 2,531.20 × 454.80
  4. Step 4: Simplify right side
    1,687.67x = 1,151,177.10
  5. Step 5: Solve for x
    x = 1,151,177.10/1,687.67
  6. Step 6: Final answer
    x = 682.11

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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.