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Finding the Fourth Proportional to 739.94, 1,109.76 and 277.71

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Solution

The fourth proportional to 739.94, 1,109.76 and 277.71 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.94 : 1,109.76 = 277.71 : x
  2. Step 2: Convert to fraction form
    739.94/1,109.76 = 277.71/x
  3. Step 3: Cross multiply
    739.94x = 1,109.76 × 277.71
  4. Step 4: Simplify right side
    739.94x = 308,191.22
  5. Step 5: Solve for x
    x = 308,191.22/739.94
  6. Step 6: Final answer
    x = 416.51

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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.