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Finding the Fourth Proportional to 872.40, 1,206.18 and 823.80

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Solution

The fourth proportional to 872.40, 1,206.18 and 823.80 is: 1,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.40 : 1,206.18 = 823.80 : x
  2. Step 2: Convert to fraction form
    872.40/1,206.18 = 823.80/x
  3. Step 3: Cross multiply
    872.40x = 1,206.18 × 823.80
  4. Step 4: Simplify right side
    872.40x = 993,651.08
  5. Step 5: Solve for x
    x = 993,651.08/872.40
  6. Step 6: Final answer
    x = 1,138.99

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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.