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Finding the Fourth Proportional to 1,660.49, 2,488.57 and 685.25

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Solution

The fourth proportional to 1,660.49, 2,488.57 and 685.25 is: 1,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.49 : 2,488.57 = 685.25 : x
  2. Step 2: Convert to fraction form
    1,660.49/2,488.57 = 685.25/x
  3. Step 3: Cross multiply
    1,660.49x = 2,488.57 × 685.25
  4. Step 4: Simplify right side
    1,660.49x = 1,705,292.59
  5. Step 5: Solve for x
    x = 1,705,292.59/1,660.49
  6. Step 6: Final answer
    x = 1,026.98

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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.