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Finding the Fourth Proportional to 1,686.18, 2,529.14 and 698.78

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Solution

The fourth proportional to 1,686.18, 2,529.14 and 698.78 is: 1,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.18 : 2,529.14 = 698.78 : x
  2. Step 2: Convert to fraction form
    1,686.18/2,529.14 = 698.78/x
  3. Step 3: Cross multiply
    1,686.18x = 2,529.14 × 698.78
  4. Step 4: Simplify right side
    1,686.18x = 1,767,301.05
  5. Step 5: Solve for x
    x = 1,767,301.05/1,686.18
  6. Step 6: Final answer
    x = 1,048.11

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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.