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Finding the Fourth Proportional to 730.79, 1,096.41 and 438.62

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Solution

The fourth proportional to 730.79, 1,096.41 and 438.62 is: 658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.79 : 1,096.41 = 438.62 : x
  2. Step 2: Convert to fraction form
    730.79/1,096.41 = 438.62/x
  3. Step 3: Cross multiply
    730.79x = 1,096.41 × 438.62
  4. Step 4: Simplify right side
    730.79x = 480,907.35
  5. Step 5: Solve for x
    x = 480,907.35/730.79
  6. Step 6: Final answer
    x = 658.07

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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.