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Finding the Fourth Proportional to 1,687.60, 2,530.24 and 762.65

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Solution

The fourth proportional to 1,687.60, 2,530.24 and 762.65 is: 1,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.60 : 2,530.24 = 762.65 : x
  2. Step 2: Convert to fraction form
    1,687.60/2,530.24 = 762.65/x
  3. Step 3: Cross multiply
    1,687.60x = 2,530.24 × 762.65
  4. Step 4: Simplify right side
    1,687.60x = 1,929,687.54
  5. Step 5: Solve for x
    x = 1,929,687.54/1,687.60
  6. Step 6: Final answer
    x = 1,143.45

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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.