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Finding the Fourth Proportional to 730.66, 1,096.36 and 470.80

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Solution

The fourth proportional to 730.66, 1,096.36 and 470.80 is: 706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.66 : 1,096.36 = 470.80 : x
  2. Step 2: Convert to fraction form
    730.66/1,096.36 = 470.80/x
  3. Step 3: Cross multiply
    730.66x = 1,096.36 × 470.80
  4. Step 4: Simplify right side
    730.66x = 516,166.29
  5. Step 5: Solve for x
    x = 516,166.29/730.66
  6. Step 6: Final answer
    x = 706.44

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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.