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Finding the Fourth Proportional to 891.14, 1,230.12 and 596.30

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Solution

The fourth proportional to 891.14, 1,230.12 and 596.30 is: 823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.14 : 1,230.12 = 596.30 : x
  2. Step 2: Convert to fraction form
    891.14/1,230.12 = 596.30/x
  3. Step 3: Cross multiply
    891.14x = 1,230.12 × 596.30
  4. Step 4: Simplify right side
    891.14x = 733,517.57
  5. Step 5: Solve for x
    x = 733,517.57/891.14
  6. Step 6: Final answer
    x = 823.12

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1.5x scale

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.