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Finding the Fourth Proportional to 741.09, 1,111.64 and 254.17

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Solution

The fourth proportional to 741.09, 1,111.64 and 254.17 is: 381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.09 : 1,111.64 = 254.17 : x
  2. Step 2: Convert to fraction form
    741.09/1,111.64 = 254.17/x
  3. Step 3: Cross multiply
    741.09x = 1,111.64 × 254.17
  4. Step 4: Simplify right side
    741.09x = 282,545.54
  5. Step 5: Solve for x
    x = 282,545.54/741.09
  6. Step 6: Final answer
    x = 381.26

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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.