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Finding the Fourth Proportional to 741.14, 1,111.71 and 254.23

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Solution

The fourth proportional to 741.14, 1,111.71 and 254.23 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.14 : 1,111.71 = 254.23 : x
  2. Step 2: Convert to fraction form
    741.14/1,111.71 = 254.23/x
  3. Step 3: Cross multiply
    741.14x = 1,111.71 × 254.23
  4. Step 4: Simplify right side
    741.14x = 282,627.25
  5. Step 5: Solve for x
    x = 282,627.25/741.14
  6. Step 6: Final answer
    x = 381.34

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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.