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Finding the Fourth Proportional to 1,521.60, 2,280.57 and 698.73

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Solution

The fourth proportional to 1,521.60, 2,280.57 and 698.73 is: 1,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.60 : 2,280.57 = 698.73 : x
  2. Step 2: Convert to fraction form
    1,521.60/2,280.57 = 698.73/x
  3. Step 3: Cross multiply
    1,521.60x = 2,280.57 × 698.73
  4. Step 4: Simplify right side
    1,521.60x = 1,593,502.68
  5. Step 5: Solve for x
    x = 1,593,502.68/1,521.60
  6. Step 6: Final answer
    x = 1,047.25

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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.