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Finding the Fourth Proportional to 1,044.57, 1,441.56 and 578.83

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Solution

The fourth proportional to 1,044.57, 1,441.56 and 578.83 is: 798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.57 : 1,441.56 = 578.83 : x
  2. Step 2: Convert to fraction form
    1,044.57/1,441.56 = 578.83/x
  3. Step 3: Cross multiply
    1,044.57x = 1,441.56 × 578.83
  4. Step 4: Simplify right side
    1,044.57x = 834,415.28
  5. Step 5: Solve for x
    x = 834,415.28/1,044.57
  6. Step 6: Final answer
    x = 798.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.