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Finding the Fourth Proportional to 891.64, 1,230.81 and 596.80

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Solution

The fourth proportional to 891.64, 1,230.81 and 596.80 is: 823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,230.81 = 596.80 : x
  2. Step 2: Convert to fraction form
    891.64/1,230.81 = 596.80/x
  3. Step 3: Cross multiply
    891.64x = 1,230.81 × 596.80
  4. Step 4: Simplify right side
    891.64x = 734,544.42
  5. Step 5: Solve for x
    x = 734,544.42/891.64
  6. Step 6: Final answer
    x = 823.81

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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.