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Finding the Fourth Proportional to 785.82, 1,177.89 and 374.09

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Solution

The fourth proportional to 785.82, 1,177.89 and 374.09 is: 560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.82 : 1,177.89 = 374.09 : x
  2. Step 2: Convert to fraction form
    785.82/1,177.89 = 374.09/x
  3. Step 3: Cross multiply
    785.82x = 1,177.89 × 374.09
  4. Step 4: Simplify right side
    785.82x = 440,631.68
  5. Step 5: Solve for x
    x = 440,631.68/785.82
  6. Step 6: Final answer
    x = 560.73

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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.