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Finding the Fourth Proportional to 1,521.47, 2,280.38 and 698.61

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Solution

The fourth proportional to 1,521.47, 2,280.38 and 698.61 is: 1,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.47 : 2,280.38 = 698.61 : x
  2. Step 2: Convert to fraction form
    1,521.47/2,280.38 = 698.61/x
  3. Step 3: Cross multiply
    1,521.47x = 2,280.38 × 698.61
  4. Step 4: Simplify right side
    1,521.47x = 1,593,096.27
  5. Step 5: Solve for x
    x = 1,593,096.27/1,521.47
  6. Step 6: Final answer
    x = 1,047.08

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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.