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Finding the Fourth Proportional to 786.55, 1,179.52 and 231.14

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Solution

The fourth proportional to 786.55, 1,179.52 and 231.14 is: 346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.55 : 1,179.52 = 231.14 : x
  2. Step 2: Convert to fraction form
    786.55/1,179.52 = 231.14/x
  3. Step 3: Cross multiply
    786.55x = 1,179.52 × 231.14
  4. Step 4: Simplify right side
    786.55x = 272,634.61
  5. Step 5: Solve for x
    x = 272,634.61/786.55
  6. Step 6: Final answer
    x = 346.62

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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.