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Finding the Fourth Proportional to 838.07, 1,155.94 and 523.49

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Solution

The fourth proportional to 838.07, 1,155.94 and 523.49 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.07 : 1,155.94 = 523.49 : x
  2. Step 2: Convert to fraction form
    838.07/1,155.94 = 523.49/x
  3. Step 3: Cross multiply
    838.07x = 1,155.94 × 523.49
  4. Step 4: Simplify right side
    838.07x = 605,123.03
  5. Step 5: Solve for x
    x = 605,123.03/838.07
  6. Step 6: Final answer
    x = 722.04

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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.