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Finding the Fourth Proportional to 828.78, 1,243.80 and 463.20

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Solution

The fourth proportional to 828.78, 1,243.80 and 463.20 is: 695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.78 : 1,243.80 = 463.20 : x
  2. Step 2: Convert to fraction form
    828.78/1,243.80 = 463.20/x
  3. Step 3: Cross multiply
    828.78x = 1,243.80 × 463.20
  4. Step 4: Simplify right side
    828.78x = 576,128.16
  5. Step 5: Solve for x
    x = 576,128.16/828.78
  6. Step 6: Final answer
    x = 695.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.