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Finding the Fourth Proportional to 1,096.31, 1,512.91 and 630.56

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Solution

The fourth proportional to 1,096.31, 1,512.91 and 630.56 is: 870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.31 : 1,512.91 = 630.56 : x
  2. Step 2: Convert to fraction form
    1,096.31/1,512.91 = 630.56/x
  3. Step 3: Cross multiply
    1,096.31x = 1,512.91 × 630.56
  4. Step 4: Simplify right side
    1,096.31x = 953,985.10
  5. Step 5: Solve for x
    x = 953,985.10/1,096.31
  6. Step 6: Final answer
    x = 870.18

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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.