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Finding the Fourth Proportional to 891.66, 1,229.82 and 537.57

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Solution

The fourth proportional to 891.66, 1,229.82 and 537.57 is: 741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.66 : 1,229.82 = 537.57 : x
  2. Step 2: Convert to fraction form
    891.66/1,229.82 = 537.57/x
  3. Step 3: Cross multiply
    891.66x = 1,229.82 × 537.57
  4. Step 4: Simplify right side
    891.66x = 661,114.34
  5. Step 5: Solve for x
    x = 661,114.34/891.66
  6. Step 6: Final answer
    x = 741.44

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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.