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Finding the Fourth Proportional to 1,223.65, 1,835.09 and 443.56

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Solution

The fourth proportional to 1,223.65, 1,835.09 and 443.56 is: 665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.65 : 1,835.09 = 443.56 : x
  2. Step 2: Convert to fraction form
    1,223.65/1,835.09 = 443.56/x
  3. Step 3: Cross multiply
    1,223.65x = 1,835.09 × 443.56
  4. Step 4: Simplify right side
    1,223.65x = 813,963.34
  5. Step 5: Solve for x
    x = 813,963.34/1,223.65
  6. Step 6: Final answer
    x = 665.19

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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.