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Finding the Fourth Proportional to 1,687.64, 2,529.63 and 864.47

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Solution

The fourth proportional to 1,687.64, 2,529.63 and 864.47 is: 1,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.64 : 2,529.63 = 864.47 : x
  2. Step 2: Convert to fraction form
    1,687.64/2,529.63 = 864.47/x
  3. Step 3: Cross multiply
    1,687.64x = 2,529.63 × 864.47
  4. Step 4: Simplify right side
    1,687.64x = 2,186,795.57
  5. Step 5: Solve for x
    x = 2,186,795.57/1,687.64
  6. Step 6: Final answer
    x = 1,295.78

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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.