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Finding the Fourth Proportional to 785.67, 1,178.31 and 237.88

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Solution

The fourth proportional to 785.67, 1,178.31 and 237.88 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.67 : 1,178.31 = 237.88 : x
  2. Step 2: Convert to fraction form
    785.67/1,178.31 = 237.88/x
  3. Step 3: Cross multiply
    785.67x = 1,178.31 × 237.88
  4. Step 4: Simplify right side
    785.67x = 280,296.38
  5. Step 5: Solve for x
    x = 280,296.38/785.67
  6. Step 6: Final answer
    x = 356.76

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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.