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Finding the Fourth Proportional to 911.44, 1,256.33 and 616.19

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Solution

The fourth proportional to 911.44, 1,256.33 and 616.19 is: 849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.44 : 1,256.33 = 616.19 : x
  2. Step 2: Convert to fraction form
    911.44/1,256.33 = 616.19/x
  3. Step 3: Cross multiply
    911.44x = 1,256.33 × 616.19
  4. Step 4: Simplify right side
    911.44x = 774,134.90
  5. Step 5: Solve for x
    x = 774,134.90/911.44
  6. Step 6: Final answer
    x = 849.36

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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.