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Finding the Fourth Proportional to 891.03, 1,229.63 and 597

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Solution

The fourth proportional to 891.03, 1,229.63 and 597 is: 823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.03 : 1,229.63 = 597 : x
  2. Step 2: Convert to fraction form
    891.03/1,229.63 = 597/x
  3. Step 3: Cross multiply
    891.03x = 1,229.63 × 597
  4. Step 4: Simplify right side
    891.03x = 734,086.13
  5. Step 5: Solve for x
    x = 734,086.13/891.03
  6. Step 6: Final answer
    x = 823.86

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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.