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Finding the Fourth Proportional to 1,223.91, 1,835.55 and 443.79

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Solution

The fourth proportional to 1,223.91, 1,835.55 and 443.79 is: 665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.91 : 1,835.55 = 443.79 : x
  2. Step 2: Convert to fraction form
    1,223.91/1,835.55 = 443.79/x
  3. Step 3: Cross multiply
    1,223.91x = 1,835.55 × 443.79
  4. Step 4: Simplify right side
    1,223.91x = 814,598.73
  5. Step 5: Solve for x
    x = 814,598.73/1,223.91
  6. Step 6: Final answer
    x = 665.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.