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Finding the Fourth Proportional to 844.46, 1,264.41 and 433.49

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Solution

The fourth proportional to 844.46, 1,264.41 and 433.49 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.46 : 1,264.41 = 433.49 : x
  2. Step 2: Convert to fraction form
    844.46/1,264.41 = 433.49/x
  3. Step 3: Cross multiply
    844.46x = 1,264.41 × 433.49
  4. Step 4: Simplify right side
    844.46x = 548,102.77
  5. Step 5: Solve for x
    x = 548,102.77/844.46
  6. Step 6: Final answer
    x = 649.06

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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.