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Finding the Fourth Proportional to 730.81, 1,096.33 and 292.06

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Solution

The fourth proportional to 730.81, 1,096.33 and 292.06 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,096.33 = 292.06 : x
  2. Step 2: Convert to fraction form
    730.81/1,096.33 = 292.06/x
  3. Step 3: Cross multiply
    730.81x = 1,096.33 × 292.06
  4. Step 4: Simplify right side
    730.81x = 320,194.14
  5. Step 5: Solve for x
    x = 320,194.14/730.81
  6. Step 6: Final answer
    x = 438.14

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Why These Related Problems?

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