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Finding the Fourth Proportional to 730.89, 1,096.13 and 470.54

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Solution

The fourth proportional to 730.89, 1,096.13 and 470.54 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.89 : 1,096.13 = 470.54 : x
  2. Step 2: Convert to fraction form
    730.89/1,096.13 = 470.54/x
  3. Step 3: Cross multiply
    730.89x = 1,096.13 × 470.54
  4. Step 4: Simplify right side
    730.89x = 515,776.93
  5. Step 5: Solve for x
    x = 515,776.93/730.89
  6. Step 6: Final answer
    x = 705.68

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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.