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Finding the Fourth Proportional to 741.53, 1,112.07 and 254.47

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Solution

The fourth proportional to 741.53, 1,112.07 and 254.47 is: 381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.53 : 1,112.07 = 254.47 : x
  2. Step 2: Convert to fraction form
    741.53/1,112.07 = 254.47/x
  3. Step 3: Cross multiply
    741.53x = 1,112.07 × 254.47
  4. Step 4: Simplify right side
    741.53x = 282,988.45
  5. Step 5: Solve for x
    x = 282,988.45/741.53
  6. Step 6: Final answer
    x = 381.63

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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.