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Finding the Fourth Proportional to 1,687.48, 2,531.34 and 454.90

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Solution

The fourth proportional to 1,687.48, 2,531.34 and 454.90 is: 682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.48 : 2,531.34 = 454.90 : x
  2. Step 2: Convert to fraction form
    1,687.48/2,531.34 = 454.90/x
  3. Step 3: Cross multiply
    1,687.48x = 2,531.34 × 454.90
  4. Step 4: Simplify right side
    1,687.48x = 1,151,515.02
  5. Step 5: Solve for x
    x = 1,151,515.02/1,687.48
  6. Step 6: Final answer
    x = 682.39

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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.