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Finding the Fourth Proportional to 838, 1,256.83 and 616.56

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Solution

The fourth proportional to 838, 1,256.83 and 616.56 is: 924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    838 : 1,256.83 = 616.56 : x
  2. Step 2: Convert to fraction form
    838/1,256.83 = 616.56/x
  3. Step 3: Cross multiply
    838x = 1,256.83 × 616.56
  4. Step 4: Simplify right side
    838x = 774,911.10
  5. Step 5: Solve for x
    x = 774,911.10/838
  6. Step 6: Final answer
    x = 924.71

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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.