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Finding the Fourth Proportional to 913.26, 1,261.17 and 634.21

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Solution

The fourth proportional to 913.26, 1,261.17 and 634.21 is: 875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,261.17 = 634.21 : x
  2. Step 2: Convert to fraction form
    913.26/1,261.17 = 634.21/x
  3. Step 3: Cross multiply
    913.26x = 1,261.17 × 634.21
  4. Step 4: Simplify right side
    913.26x = 799,845.82
  5. Step 5: Solve for x
    x = 799,845.82/913.26
  6. Step 6: Final answer
    x = 875.82

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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.