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Finding the Fourth Proportional to 741.26, 1,022.51 and 541.83

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Solution

The fourth proportional to 741.26, 1,022.51 and 541.83 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,022.51 = 541.83 : x
  2. Step 2: Convert to fraction form
    741.26/1,022.51 = 541.83/x
  3. Step 3: Cross multiply
    741.26x = 1,022.51 × 541.83
  4. Step 4: Simplify right side
    741.26x = 554,023.88
  5. Step 5: Solve for x
    x = 554,023.88/741.26
  6. Step 6: Final answer
    x = 747.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.