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Finding the Fourth Proportional to 739.67, 1,109.52 and 414.78

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Solution

The fourth proportional to 739.67, 1,109.52 and 414.78 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.67 : 1,109.52 = 414.78 : x
  2. Step 2: Convert to fraction form
    739.67/1,109.52 = 414.78/x
  3. Step 3: Cross multiply
    739.67x = 1,109.52 × 414.78
  4. Step 4: Simplify right side
    739.67x = 460,206.71
  5. Step 5: Solve for x
    x = 460,206.71/739.67
  6. Step 6: Final answer
    x = 622.18

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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.