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Finding the Fourth Proportional to 741.27, 1,112.54 and 498.09

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Solution

The fourth proportional to 741.27, 1,112.54 and 498.09 is: 747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.27 : 1,112.54 = 498.09 : x
  2. Step 2: Convert to fraction form
    741.27/1,112.54 = 498.09/x
  3. Step 3: Cross multiply
    741.27x = 1,112.54 × 498.09
  4. Step 4: Simplify right side
    741.27x = 554,142.56
  5. Step 5: Solve for x
    x = 554,142.56/741.27
  6. Step 6: Final answer
    x = 747.56

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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.