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Finding the Fourth Proportional to 1,687.25, 2,532.04 and 591.62

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Solution

The fourth proportional to 1,687.25, 2,532.04 and 591.62 is: 887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.25 : 2,532.04 = 591.62 : x
  2. Step 2: Convert to fraction form
    1,687.25/2,532.04 = 591.62/x
  3. Step 3: Cross multiply
    1,687.25x = 2,532.04 × 591.62
  4. Step 4: Simplify right side
    1,687.25x = 1,497,991.37
  5. Step 5: Solve for x
    x = 1,497,991.37/1,687.25
  6. Step 6: Final answer
    x = 887.83

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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.