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Finding the Fourth Proportional to 1,687.70, 2,531.32 and 455.22

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Solution

The fourth proportional to 1,687.70, 2,531.32 and 455.22 is: 682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.70 : 2,531.32 = 455.22 : x
  2. Step 2: Convert to fraction form
    1,687.70/2,531.32 = 455.22/x
  3. Step 3: Cross multiply
    1,687.70x = 2,531.32 × 455.22
  4. Step 4: Simplify right side
    1,687.70x = 1,152,306.35
  5. Step 5: Solve for x
    x = 1,152,306.35/1,687.70
  6. Step 6: Final answer
    x = 682.77

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Why These Related Problems?

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