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Finding the Fourth Proportional to 663.10, 902.56 and 663.10

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Solution

The fourth proportional to 663.10, 902.56 and 663.10 is: 902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.10 : 902.56 = 663.10 : x
  2. Step 2: Convert to fraction form
    663.10/902.56 = 663.10/x
  3. Step 3: Cross multiply
    663.10x = 902.56 × 663.10
  4. Step 4: Simplify right side
    663.10x = 598,487.54
  5. Step 5: Solve for x
    x = 598,487.54/663.10
  6. Step 6: Final answer
    x = 902.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.