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Finding the Fourth Proportional to 754, 1,130.82 and 233.86

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Solution

The fourth proportional to 754, 1,130.82 and 233.86 is: 350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    754 : 1,130.82 = 233.86 : x
  2. Step 2: Convert to fraction form
    754/1,130.82 = 233.86/x
  3. Step 3: Cross multiply
    754x = 1,130.82 × 233.86
  4. Step 4: Simplify right side
    754x = 264,453.57
  5. Step 5: Solve for x
    x = 264,453.57/754
  6. Step 6: Final answer
    x = 350.73

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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.