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Finding the Fourth Proportional to 1,044.31, 1,441.14 and 572.20

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Solution

The fourth proportional to 1,044.31, 1,441.14 and 572.20 is: 789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.31 : 1,441.14 = 572.20 : x
  2. Step 2: Convert to fraction form
    1,044.31/1,441.14 = 572.20/x
  3. Step 3: Cross multiply
    1,044.31x = 1,441.14 × 572.20
  4. Step 4: Simplify right side
    1,044.31x = 824,620.31
  5. Step 5: Solve for x
    x = 824,620.31/1,044.31
  6. Step 6: Final answer
    x = 789.63

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Why These Related Problems?

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