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Finding the Fourth Proportional to 838, 1,156.56 and 527.44

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Solution

The fourth proportional to 838, 1,156.56 and 527.44 is: 727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838 : 1,156.56 = 527.44 : x
  2. Step 2: Convert to fraction form
    838/1,156.56 = 527.44/x
  3. Step 3: Cross multiply
    838x = 1,156.56 × 527.44
  4. Step 4: Simplify right side
    838x = 610,016.01
  5. Step 5: Solve for x
    x = 610,016.01/838
  6. Step 6: Final answer
    x = 727.94

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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.