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Finding the Fourth Proportional to 842.61, 1,264.31 and 380.53

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Solution

The fourth proportional to 842.61, 1,264.31 and 380.53 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.61 : 1,264.31 = 380.53 : x
  2. Step 2: Convert to fraction form
    842.61/1,264.31 = 380.53/x
  3. Step 3: Cross multiply
    842.61x = 1,264.31 × 380.53
  4. Step 4: Simplify right side
    842.61x = 481,107.57
  5. Step 5: Solve for x
    x = 481,107.57/842.61
  6. Step 6: Final answer
    x = 570.97

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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.