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Finding the Fourth Proportional to 1,521.41, 2,279.06 and 698.54

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Solution

The fourth proportional to 1,521.41, 2,279.06 and 698.54 is: 1,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.41 : 2,279.06 = 698.54 : x
  2. Step 2: Convert to fraction form
    1,521.41/2,279.06 = 698.54/x
  3. Step 3: Cross multiply
    1,521.41x = 2,279.06 × 698.54
  4. Step 4: Simplify right side
    1,521.41x = 1,591,999.68
  5. Step 5: Solve for x
    x = 1,591,999.68/1,521.41
  6. Step 6: Final answer
    x = 1,046.40

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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.