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Finding the Fourth Proportional to 1,418.45, 2,128.98 and 725.61

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Solution

The fourth proportional to 1,418.45, 2,128.98 and 725.61 is: 1,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.45 : 2,128.98 = 725.61 : x
  2. Step 2: Convert to fraction form
    1,418.45/2,128.98 = 725.61/x
  3. Step 3: Cross multiply
    1,418.45x = 2,128.98 × 725.61
  4. Step 4: Simplify right side
    1,418.45x = 1,544,807.91
  5. Step 5: Solve for x
    x = 1,544,807.91/1,418.45
  6. Step 6: Final answer
    x = 1,089.09

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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.