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Finding the Fourth Proportional to 610.96, 914.11 and 537.25

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Solution

The fourth proportional to 610.96, 914.11 and 537.25 is: 803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 914.11 = 537.25 : x
  2. Step 2: Convert to fraction form
    610.96/914.11 = 537.25/x
  3. Step 3: Cross multiply
    610.96x = 914.11 × 537.25
  4. Step 4: Simplify right side
    610.96x = 491,101.97
  5. Step 5: Solve for x
    x = 491,101.97/610.96
  6. Step 6: Final answer
    x = 803.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.