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Finding the Fourth Proportional to 749.71, 1,033.81 and 540.88

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Solution

The fourth proportional to 749.71, 1,033.81 and 540.88 is: 745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.71 : 1,033.81 = 540.88 : x
  2. Step 2: Convert to fraction form
    749.71/1,033.81 = 540.88/x
  3. Step 3: Cross multiply
    749.71x = 1,033.81 × 540.88
  4. Step 4: Simplify right side
    749.71x = 559,166.26
  5. Step 5: Solve for x
    x = 559,166.26/749.71
  6. Step 6: Final answer
    x = 745.85

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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.