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Finding the Fourth Proportional to 828.12, 1,247.10 and 773.45

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Solution

The fourth proportional to 828.12, 1,247.10 and 773.45 is: 1,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.12 : 1,247.10 = 773.45 : x
  2. Step 2: Convert to fraction form
    828.12/1,247.10 = 773.45/x
  3. Step 3: Cross multiply
    828.12x = 1,247.10 × 773.45
  4. Step 4: Simplify right side
    828.12x = 964,565.04
  5. Step 5: Solve for x
    x = 964,565.04/828.12
  6. Step 6: Final answer
    x = 1,164.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.