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Finding the Fourth Proportional to 782.57, 1,173.86 and 234.75

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Solution

The fourth proportional to 782.57, 1,173.86 and 234.75 is: 352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,173.86 = 234.75 : x
  2. Step 2: Convert to fraction form
    782.57/1,173.86 = 234.75/x
  3. Step 3: Cross multiply
    782.57x = 1,173.86 × 234.75
  4. Step 4: Simplify right side
    782.57x = 275,563.64
  5. Step 5: Solve for x
    x = 275,563.64/782.57
  6. Step 6: Final answer
    x = 352.13

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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.