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Finding the Fourth Proportional to 823.24, 1,132.68 and 625.60

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Solution

The fourth proportional to 823.24, 1,132.68 and 625.60 is: 860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.24 : 1,132.68 = 625.60 : x
  2. Step 2: Convert to fraction form
    823.24/1,132.68 = 625.60/x
  3. Step 3: Cross multiply
    823.24x = 1,132.68 × 625.60
  4. Step 4: Simplify right side
    823.24x = 708,604.61
  5. Step 5: Solve for x
    x = 708,604.61/823.24
  6. Step 6: Final answer
    x = 860.75

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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.