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Finding the Fourth Proportional to 1,272.62, 1,756.22 and 741.82

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Solution

The fourth proportional to 1,272.62, 1,756.22 and 741.82 is: 1,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.62 : 1,756.22 = 741.82 : x
  2. Step 2: Convert to fraction form
    1,272.62/1,756.22 = 741.82/x
  3. Step 3: Cross multiply
    1,272.62x = 1,756.22 × 741.82
  4. Step 4: Simplify right side
    1,272.62x = 1,302,787.56
  5. Step 5: Solve for x
    x = 1,302,787.56/1,272.62
  6. Step 6: Final answer
    x = 1,023.71

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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.