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Finding the Fourth Proportional to 886.80, 1,224.24 and 537.36

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Solution

The fourth proportional to 886.80, 1,224.24 and 537.36 is: 741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.80 : 1,224.24 = 537.36 : x
  2. Step 2: Convert to fraction form
    886.80/1,224.24 = 537.36/x
  3. Step 3: Cross multiply
    886.80x = 1,224.24 × 537.36
  4. Step 4: Simplify right side
    886.80x = 657,857.61
  5. Step 5: Solve for x
    x = 657,857.61/886.80
  6. Step 6: Final answer
    x = 741.83

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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.