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Finding the Fourth Proportional to 1,077.44, 1,605.44 and 1,042.56

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Solution

The fourth proportional to 1,077.44, 1,605.44 and 1,042.56 is: 1,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.44 : 1,605.44 = 1,042.56 : x
  2. Step 2: Convert to fraction form
    1,077.44/1,605.44 = 1,042.56/x
  3. Step 3: Cross multiply
    1,077.44x = 1,605.44 × 1,042.56
  4. Step 4: Simplify right side
    1,077.44x = 1,673,767.53
  5. Step 5: Solve for x
    x = 1,673,767.53/1,077.44
  6. Step 6: Final answer
    x = 1,553.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.