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Finding the Fourth Proportional to 1,044.29, 1,441.16 and 596.14

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Solution

The fourth proportional to 1,044.29, 1,441.16 and 596.14 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.29 : 1,441.16 = 596.14 : x
  2. Step 2: Convert to fraction form
    1,044.29/1,441.16 = 596.14/x
  3. Step 3: Cross multiply
    1,044.29x = 1,441.16 × 596.14
  4. Step 4: Simplify right side
    1,044.29x = 859,126.54
  5. Step 5: Solve for x
    x = 859,126.54/1,044.29
  6. Step 6: Final answer
    x = 822.69

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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.