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Finding the Fourth Proportional to 1,096.30, 1,646.84 and 1,046.76

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Solution

The fourth proportional to 1,096.30, 1,646.84 and 1,046.76 is: 1,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.30 : 1,646.84 = 1,046.76 : x
  2. Step 2: Convert to fraction form
    1,096.30/1,646.84 = 1,046.76/x
  3. Step 3: Cross multiply
    1,096.30x = 1,646.84 × 1,046.76
  4. Step 4: Simplify right side
    1,096.30x = 1,723,846.24
  5. Step 5: Solve for x
    x = 1,723,846.24/1,096.30
  6. Step 6: Final answer
    x = 1,572.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.