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Finding the Fourth Proportional to 1,223.69, 1,833.14 and 674.21

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Solution

The fourth proportional to 1,223.69, 1,833.14 and 674.21 is: 1,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.69 : 1,833.14 = 674.21 : x
  2. Step 2: Convert to fraction form
    1,223.69/1,833.14 = 674.21/x
  3. Step 3: Cross multiply
    1,223.69x = 1,833.14 × 674.21
  4. Step 4: Simplify right side
    1,223.69x = 1,235,908.78
  5. Step 5: Solve for x
    x = 1,235,908.78/1,223.69
  6. Step 6: Final answer
    x = 1,009.99

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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.