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Finding the Fourth Proportional to 891.37, 1,229.64 and 537.13

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Solution

The fourth proportional to 891.37, 1,229.64 and 537.13 is: 740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.37 : 1,229.64 = 537.13 : x
  2. Step 2: Convert to fraction form
    891.37/1,229.64 = 537.13/x
  3. Step 3: Cross multiply
    891.37x = 1,229.64 × 537.13
  4. Step 4: Simplify right side
    891.37x = 660,476.53
  5. Step 5: Solve for x
    x = 660,476.53/891.37
  6. Step 6: Final answer
    x = 740.97

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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.