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Finding the Fourth Proportional to 1,044.52, 1,441.46 and 578.84

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Solution

The fourth proportional to 1,044.52, 1,441.46 and 578.84 is: 798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.52 : 1,441.46 = 578.84 : x
  2. Step 2: Convert to fraction form
    1,044.52/1,441.46 = 578.84/x
  3. Step 3: Cross multiply
    1,044.52x = 1,441.46 × 578.84
  4. Step 4: Simplify right side
    1,044.52x = 834,374.71
  5. Step 5: Solve for x
    x = 834,374.71/1,044.52
  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.