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Finding the Fourth Proportional to 948.44, 1,309.19 and 616.75

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Solution

The fourth proportional to 948.44, 1,309.19 and 616.75 is: 851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.44 : 1,309.19 = 616.75 : x
  2. Step 2: Convert to fraction form
    948.44/1,309.19 = 616.75/x
  3. Step 3: Cross multiply
    948.44x = 1,309.19 × 616.75
  4. Step 4: Simplify right side
    948.44x = 807,436.58
  5. Step 5: Solve for x
    x = 807,436.58/948.44
  6. Step 6: Final answer
    x = 851.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.