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Finding the Fourth Proportional to 739.85, 1,109.87 and 246.09

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Solution

The fourth proportional to 739.85, 1,109.87 and 246.09 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,109.87 = 246.09 : x
  2. Step 2: Convert to fraction form
    739.85/1,109.87 = 246.09/x
  3. Step 3: Cross multiply
    739.85x = 1,109.87 × 246.09
  4. Step 4: Simplify right side
    739.85x = 273,128.52
  5. Step 5: Solve for x
    x = 273,128.52/739.85
  6. Step 6: Final answer
    x = 369.17

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1.5x scale

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.