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Finding the Fourth Proportional to 877.62, 1,205.41 and 823.41

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Solution

The fourth proportional to 877.62, 1,205.41 and 823.41 is: 1,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.62 : 1,205.41 = 823.41 : x
  2. Step 2: Convert to fraction form
    877.62/1,205.41 = 823.41/x
  3. Step 3: Cross multiply
    877.62x = 1,205.41 × 823.41
  4. Step 4: Simplify right side
    877.62x = 992,546.65
  5. Step 5: Solve for x
    x = 992,546.65/877.62
  6. Step 6: Final answer
    x = 1,130.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.