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Finding the Fourth Proportional to 842.52, 1,264.23 and 613.32

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Solution

The fourth proportional to 842.52, 1,264.23 and 613.32 is: 920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.52 : 1,264.23 = 613.32 : x
  2. Step 2: Convert to fraction form
    842.52/1,264.23 = 613.32/x
  3. Step 3: Cross multiply
    842.52x = 1,264.23 × 613.32
  4. Step 4: Simplify right side
    842.52x = 775,377.54
  5. Step 5: Solve for x
    x = 775,377.54/842.52
  6. Step 6: Final answer
    x = 920.31

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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.