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Finding the Fourth Proportional to 730.27, 1,095.34 and 455.41

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Solution

The fourth proportional to 730.27, 1,095.34 and 455.41 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.27 : 1,095.34 = 455.41 : x
  2. Step 2: Convert to fraction form
    730.27/1,095.34 = 455.41/x
  3. Step 3: Cross multiply
    730.27x = 1,095.34 × 455.41
  4. Step 4: Simplify right side
    730.27x = 498,828.79
  5. Step 5: Solve for x
    x = 498,828.79/730.27
  6. Step 6: Final answer
    x = 683.07

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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.