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Finding the Fourth Proportional to 782.68, 1,174.07 and 234.92

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Solution

The fourth proportional to 782.68, 1,174.07 and 234.92 is: 352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.68 : 1,174.07 = 234.92 : x
  2. Step 2: Convert to fraction form
    782.68/1,174.07 = 234.92/x
  3. Step 3: Cross multiply
    782.68x = 1,174.07 × 234.92
  4. Step 4: Simplify right side
    782.68x = 275,812.52
  5. Step 5: Solve for x
    x = 275,812.52/782.68
  6. Step 6: Final answer
    x = 352.40

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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.