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Finding the Fourth Proportional to 739.52, 1,109.67 and 277.62

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Solution

The fourth proportional to 739.52, 1,109.67 and 277.62 is: 416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.52 : 1,109.67 = 277.62 : x
  2. Step 2: Convert to fraction form
    739.52/1,109.67 = 277.62/x
  3. Step 3: Cross multiply
    739.52x = 1,109.67 × 277.62
  4. Step 4: Simplify right side
    739.52x = 308,061.38
  5. Step 5: Solve for x
    x = 308,061.38/739.52
  6. Step 6: Final answer
    x = 416.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.