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Finding the Fourth Proportional to 1,096.20, 1,512.45 and 630.45

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Solution

The fourth proportional to 1,096.20, 1,512.45 and 630.45 is: 869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.20 : 1,512.45 = 630.45 : x
  2. Step 2: Convert to fraction form
    1,096.20/1,512.45 = 630.45/x
  3. Step 3: Cross multiply
    1,096.20x = 1,512.45 × 630.45
  4. Step 4: Simplify right side
    1,096.20x = 953,524.10
  5. Step 5: Solve for x
    x = 953,524.10/1,096.20
  6. Step 6: Final answer
    x = 869.85

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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.