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Finding the Fourth Proportional to 1,223.35, 1,835.22 and 443.40

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Solution

The fourth proportional to 1,223.35, 1,835.22 and 443.40 is: 665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.35 : 1,835.22 = 443.40 : x
  2. Step 2: Convert to fraction form
    1,223.35/1,835.22 = 443.40/x
  3. Step 3: Cross multiply
    1,223.35x = 1,835.22 × 443.40
  4. Step 4: Simplify right side
    1,223.35x = 813,731.33
  5. Step 5: Solve for x
    x = 813,731.33/1,223.35
  6. Step 6: Final answer
    x = 665.17

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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.