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Finding the Fourth Proportional to 1,223.00, 1,834.47 and 298.55

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Solution

The fourth proportional to 1,223.00, 1,834.47 and 298.55 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.00 : 1,834.47 = 298.55 : x
  2. Step 2: Convert to fraction form
    1,223.00/1,834.47 = 298.55/x
  3. Step 3: Cross multiply
    1,223.00x = 1,834.47 × 298.55
  4. Step 4: Simplify right side
    1,223.00x = 547,671.85
  5. Step 5: Solve for x
    x = 547,671.85/1,223.00
  6. Step 6: Final answer
    x = 447.81

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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.