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Finding the Fourth Proportional to 1,044.31, 1,441.15 and 578.56

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Solution

The fourth proportional to 1,044.31, 1,441.15 and 578.56 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.31 : 1,441.15 = 578.56 : x
  2. Step 2: Convert to fraction form
    1,044.31/1,441.15 = 578.56/x
  3. Step 3: Cross multiply
    1,044.31x = 1,441.15 × 578.56
  4. Step 4: Simplify right side
    1,044.31x = 833,791.74
  5. Step 5: Solve for x
    x = 833,791.74/1,044.31
  6. Step 6: Final answer
    x = 798.41

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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.