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Finding the Fourth Proportional to 745.35, 1,111.26 and 726.12

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Solution

The fourth proportional to 745.35, 1,111.26 and 726.12 is: 1,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.35 : 1,111.26 = 726.12 : x
  2. Step 2: Convert to fraction form
    745.35/1,111.26 = 726.12/x
  3. Step 3: Cross multiply
    745.35x = 1,111.26 × 726.12
  4. Step 4: Simplify right side
    745.35x = 806,908.11
  5. Step 5: Solve for x
    x = 806,908.11/745.35
  6. Step 6: Final answer
    x = 1,082.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.