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Finding the Fourth Proportional to 838.17, 1,248.41 and 794.26

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Solution

The fourth proportional to 838.17, 1,248.41 and 794.26 is: 1,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,248.41 = 794.26 : x
  2. Step 2: Convert to fraction form
    838.17/1,248.41 = 794.26/x
  3. Step 3: Cross multiply
    838.17x = 1,248.41 × 794.26
  4. Step 4: Simplify right side
    838.17x = 991,561.28
  5. Step 5: Solve for x
    x = 991,561.28/838.17
  6. Step 6: Final answer
    x = 1,183.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.