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Finding the Fourth Proportional to 1,687.84, 2,532.57 and 648.35

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Solution

The fourth proportional to 1,687.84, 2,532.57 and 648.35 is: 972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.84 : 2,532.57 = 648.35 : x
  2. Step 2: Convert to fraction form
    1,687.84/2,532.57 = 648.35/x
  3. Step 3: Cross multiply
    1,687.84x = 2,532.57 × 648.35
  4. Step 4: Simplify right side
    1,687.84x = 1,642,000.41
  5. Step 5: Solve for x
    x = 1,642,000.41/1,687.84
  6. Step 6: Final answer
    x = 972.84

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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.