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Finding the Fourth Proportional to 1,096.18, 1,512.86 and 630.42

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Solution

The fourth proportional to 1,096.18, 1,512.86 and 630.42 is: 870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.18 : 1,512.86 = 630.42 : x
  2. Step 2: Convert to fraction form
    1,096.18/1,512.86 = 630.42/x
  3. Step 3: Cross multiply
    1,096.18x = 1,512.86 × 630.42
  4. Step 4: Simplify right side
    1,096.18x = 953,737.20
  5. Step 5: Solve for x
    x = 953,737.20/1,096.18
  6. Step 6: Final answer
    x = 870.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.