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Finding the Fourth Proportional to 1,687, 2,527.20 and 862.84

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Solution

The fourth proportional to 1,687, 2,527.20 and 862.84 is: 1,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687 : 2,527.20 = 862.84 : x
  2. Step 2: Convert to fraction form
    1,687/2,527.20 = 862.84/x
  3. Step 3: Cross multiply
    1,687x = 2,527.20 × 862.84
  4. Step 4: Simplify right side
    1,687x = 2,180,569.25
  5. Step 5: Solve for x
    x = 2,180,569.25/1,687
  6. Step 6: Final answer
    x = 1,292.57

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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.