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Finding the Fourth Proportional to 782.62, 1,174.14 and 234.81

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Solution

The fourth proportional to 782.62, 1,174.14 and 234.81 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.62 : 1,174.14 = 234.81 : x
  2. Step 2: Convert to fraction form
    782.62/1,174.14 = 234.81/x
  3. Step 3: Cross multiply
    782.62x = 1,174.14 × 234.81
  4. Step 4: Simplify right side
    782.62x = 275,699.81
  5. Step 5: Solve for x
    x = 275,699.81/782.62
  6. Step 6: Final answer
    x = 352.28

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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.