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Finding the Fourth Proportional to 823.60, 1,229.38 and 766.64

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Solution

The fourth proportional to 823.60, 1,229.38 and 766.64 is: 1,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.60 : 1,229.38 = 766.64 : x
  2. Step 2: Convert to fraction form
    823.60/1,229.38 = 766.64/x
  3. Step 3: Cross multiply
    823.60x = 1,229.38 × 766.64
  4. Step 4: Simplify right side
    823.60x = 942,491.88
  5. Step 5: Solve for x
    x = 942,491.88/823.60
  6. Step 6: Final answer
    x = 1,144.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.