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Finding the Fourth Proportional to 1,686.14, 2,529.48 and 515.88

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Solution

The fourth proportional to 1,686.14, 2,529.48 and 515.88 is: 773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.14 : 2,529.48 = 515.88 : x
  2. Step 2: Convert to fraction form
    1,686.14/2,529.48 = 515.88/x
  3. Step 3: Cross multiply
    1,686.14x = 2,529.48 × 515.88
  4. Step 4: Simplify right side
    1,686.14x = 1,304,908.14
  5. Step 5: Solve for x
    x = 1,304,908.14/1,686.14
  6. Step 6: Final answer
    x = 773.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.