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Finding the Fourth Proportional to 1,223.24, 1,834.34 and 482.73

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Solution

The fourth proportional to 1,223.24, 1,834.34 and 482.73 is: 723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.24 : 1,834.34 = 482.73 : x
  2. Step 2: Convert to fraction form
    1,223.24/1,834.34 = 482.73/x
  3. Step 3: Cross multiply
    1,223.24x = 1,834.34 × 482.73
  4. Step 4: Simplify right side
    1,223.24x = 885,490.95
  5. Step 5: Solve for x
    x = 885,490.95/1,223.24
  6. Step 6: Final answer
    x = 723.89

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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.