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Finding the Fourth Proportional to 739.93, 1,109.73 and 277.93

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Solution

The fourth proportional to 739.93, 1,109.73 and 277.93 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.93 : 1,109.73 = 277.93 : x
  2. Step 2: Convert to fraction form
    739.93/1,109.73 = 277.93/x
  3. Step 3: Cross multiply
    739.93x = 1,109.73 × 277.93
  4. Step 4: Simplify right side
    739.93x = 308,427.26
  5. Step 5: Solve for x
    x = 308,427.26/739.93
  6. Step 6: Final answer
    x = 416.83

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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.