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Finding the Fourth Proportional to 842.78, 1,264.37 and 265.65

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Solution

The fourth proportional to 842.78, 1,264.37 and 265.65 is: 398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.78 : 1,264.37 = 265.65 : x
  2. Step 2: Convert to fraction form
    842.78/1,264.37 = 265.65/x
  3. Step 3: Cross multiply
    842.78x = 1,264.37 × 265.65
  4. Step 4: Simplify right side
    842.78x = 335,878.56
  5. Step 5: Solve for x
    x = 335,878.56/842.78
  6. Step 6: Final answer
    x = 398.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.