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Finding the Fourth Proportional to 828.98, 1,143.61 and 663.42

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Solution

The fourth proportional to 828.98, 1,143.61 and 663.42 is: 915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,143.61 = 663.42 : x
  2. Step 2: Convert to fraction form
    828.98/1,143.61 = 663.42/x
  3. Step 3: Cross multiply
    828.98x = 1,143.61 × 663.42
  4. Step 4: Simplify right side
    828.98x = 758,693.75
  5. Step 5: Solve for x
    x = 758,693.75/828.98
  6. Step 6: Final answer
    x = 915.21

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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.