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Finding the Fourth Proportional to 782.60, 1,174.16 and 234.77

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Solution

The fourth proportional to 782.60, 1,174.16 and 234.77 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.60 : 1,174.16 = 234.77 : x
  2. Step 2: Convert to fraction form
    782.60/1,174.16 = 234.77/x
  3. Step 3: Cross multiply
    782.60x = 1,174.16 × 234.77
  4. Step 4: Simplify right side
    782.60x = 275,652.26
  5. Step 5: Solve for x
    x = 275,652.26/782.60
  6. Step 6: Final answer
    x = 352.23

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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.