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Finding the Fourth Proportional to 1,044.14, 1,440.96 and 596.05

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Solution

The fourth proportional to 1,044.14, 1,440.96 and 596.05 is: 822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.14 : 1,440.96 = 596.05 : x
  2. Step 2: Convert to fraction form
    1,044.14/1,440.96 = 596.05/x
  3. Step 3: Cross multiply
    1,044.14x = 1,440.96 × 596.05
  4. Step 4: Simplify right side
    1,044.14x = 858,887.45
  5. Step 5: Solve for x
    x = 858,887.45/1,044.14
  6. Step 6: Final answer
    x = 822.58

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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.