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Finding the Fourth Proportional to 730.92, 1,096.42 and 456.14

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Solution

The fourth proportional to 730.92, 1,096.42 and 456.14 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.92 : 1,096.42 = 456.14 : x
  2. Step 2: Convert to fraction form
    730.92/1,096.42 = 456.14/x
  3. Step 3: Cross multiply
    730.92x = 1,096.42 × 456.14
  4. Step 4: Simplify right side
    730.92x = 500,121.02
  5. Step 5: Solve for x
    x = 500,121.02/730.92
  6. Step 6: Final answer
    x = 684.23

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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.