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Finding the Fourth Proportional to 757.22, 1,129.01 and 738.32

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Solution

The fourth proportional to 757.22, 1,129.01 and 738.32 is: 1,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.22 : 1,129.01 = 738.32 : x
  2. Step 2: Convert to fraction form
    757.22/1,129.01 = 738.32/x
  3. Step 3: Cross multiply
    757.22x = 1,129.01 × 738.32
  4. Step 4: Simplify right side
    757.22x = 833,561.33
  5. Step 5: Solve for x
    x = 833,561.33/757.22
  6. Step 6: Final answer
    x = 1,100.83

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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.