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Finding the Fourth Proportional to 780.26, 1,170.39 and 232.49

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Solution

The fourth proportional to 780.26, 1,170.39 and 232.49 is: 348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,170.39 = 232.49 : x
  2. Step 2: Convert to fraction form
    780.26/1,170.39 = 232.49/x
  3. Step 3: Cross multiply
    780.26x = 1,170.39 × 232.49
  4. Step 4: Simplify right side
    780.26x = 272,098.12
  5. Step 5: Solve for x
    x = 272,098.12/780.26
  6. Step 6: Final answer
    x = 348.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.