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Finding the Fourth Proportional to 838.10, 1,156.34 and 523.22

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Solution

The fourth proportional to 838.10, 1,156.34 and 523.22 is: 721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.10 : 1,156.34 = 523.22 : x
  2. Step 2: Convert to fraction form
    838.10/1,156.34 = 523.22/x
  3. Step 3: Cross multiply
    838.10x = 1,156.34 × 523.22
  4. Step 4: Simplify right side
    838.10x = 605,015.74
  5. Step 5: Solve for x
    x = 605,015.74/838.10
  6. Step 6: Final answer
    x = 721.89

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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.