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Finding the Fourth Proportional to 828.96, 1,243.52 and 463.84

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Solution

The fourth proportional to 828.96, 1,243.52 and 463.84 is: 695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.96 : 1,243.52 = 463.84 : x
  2. Step 2: Convert to fraction form
    828.96/1,243.52 = 463.84/x
  3. Step 3: Cross multiply
    828.96x = 1,243.52 × 463.84
  4. Step 4: Simplify right side
    828.96x = 576,794.32
  5. Step 5: Solve for x
    x = 576,794.32/828.96
  6. Step 6: Final answer
    x = 695.80

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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.