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Finding the Fourth Proportional to 1,096.12, 1,511.96 and 653.74

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Solution

The fourth proportional to 1,096.12, 1,511.96 and 653.74 is: 901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.12 : 1,511.96 = 653.74 : x
  2. Step 2: Convert to fraction form
    1,096.12/1,511.96 = 653.74/x
  3. Step 3: Cross multiply
    1,096.12x = 1,511.96 × 653.74
  4. Step 4: Simplify right side
    1,096.12x = 988,428.73
  5. Step 5: Solve for x
    x = 988,428.73/1,096.12
  6. Step 6: Final answer
    x = 901.75

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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.