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Finding the Fourth Proportional to 741.92, 1,112.52 and 433.85

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Solution

The fourth proportional to 741.92, 1,112.52 and 433.85 is: 650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,112.52 = 433.85 : x
  2. Step 2: Convert to fraction form
    741.92/1,112.52 = 433.85/x
  3. Step 3: Cross multiply
    741.92x = 1,112.52 × 433.85
  4. Step 4: Simplify right side
    741.92x = 482,666.80
  5. Step 5: Solve for x
    x = 482,666.80/741.92
  6. Step 6: Final answer
    x = 650.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.