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Finding the Fourth Proportional to 758.82, 1,145.21 and 739.38

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Solution

The fourth proportional to 758.82, 1,145.21 and 739.38 is: 1,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.82 : 1,145.21 = 739.38 : x
  2. Step 2: Convert to fraction form
    758.82/1,145.21 = 739.38/x
  3. Step 3: Cross multiply
    758.82x = 1,145.21 × 739.38
  4. Step 4: Simplify right side
    758.82x = 846,747.22
  5. Step 5: Solve for x
    x = 846,747.22/758.82
  6. Step 6: Final answer
    x = 1,115.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.