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Finding the Fourth Proportional to 1,149.25, 1,723.82 and 369.23

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Solution

The fourth proportional to 1,149.25, 1,723.82 and 369.23 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.25 : 1,723.82 = 369.23 : x
  2. Step 2: Convert to fraction form
    1,149.25/1,723.82 = 369.23/x
  3. Step 3: Cross multiply
    1,149.25x = 1,723.82 × 369.23
  4. Step 4: Simplify right side
    1,149.25x = 636,486.06
  5. Step 5: Solve for x
    x = 636,486.06/1,149.25
  6. Step 6: Final answer
    x = 553.83

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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.