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Finding the Fourth Proportional to 886.96, 1,224.12 and 537.76

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Solution

The fourth proportional to 886.96, 1,224.12 and 537.76 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.96 : 1,224.12 = 537.76 : x
  2. Step 2: Convert to fraction form
    886.96/1,224.12 = 537.76/x
  3. Step 3: Cross multiply
    886.96x = 1,224.12 × 537.76
  4. Step 4: Simplify right side
    886.96x = 658,282.77
  5. Step 5: Solve for x
    x = 658,282.77/886.96
  6. Step 6: Final answer
    x = 742.18

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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.