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Finding the Fourth Proportional to 1,660.30, 2,490.45 and 686.43

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Solution

The fourth proportional to 1,660.30, 2,490.45 and 686.43 is: 1,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.30 : 2,490.45 = 686.43 : x
  2. Step 2: Convert to fraction form
    1,660.30/2,490.45 = 686.43/x
  3. Step 3: Cross multiply
    1,660.30x = 2,490.45 × 686.43
  4. Step 4: Simplify right side
    1,660.30x = 1,709,507.14
  5. Step 5: Solve for x
    x = 1,709,507.14/1,660.30
  6. Step 6: Final answer
    x = 1,029.64

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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.