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Finding the Fourth Proportional to 891, 1,229.58 and 595.80

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Solution

The fourth proportional to 891, 1,229.58 and 595.80 is: 822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    891 : 1,229.58 = 595.80 : x
  2. Step 2: Convert to fraction form
    891/1,229.58 = 595.80/x
  3. Step 3: Cross multiply
    891x = 1,229.58 × 595.80
  4. Step 4: Simplify right side
    891x = 732,583.76
  5. Step 5: Solve for x
    x = 732,583.76/891
  6. Step 6: Final answer
    x = 822.20

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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.