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Finding the Fourth Proportional to 719.74, 1,079.77 and 232.78

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Solution

The fourth proportional to 719.74, 1,079.77 and 232.78 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.74 : 1,079.77 = 232.78 : x
  2. Step 2: Convert to fraction form
    719.74/1,079.77 = 232.78/x
  3. Step 3: Cross multiply
    719.74x = 1,079.77 × 232.78
  4. Step 4: Simplify right side
    719.74x = 251,348.86
  5. Step 5: Solve for x
    x = 251,348.86/719.74
  6. Step 6: Final answer
    x = 349.22

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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.