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Finding the Fourth Proportional to 844.24, 1,267.59 and 602.05

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Solution

The fourth proportional to 844.24, 1,267.59 and 602.05 is: 903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.24 : 1,267.59 = 602.05 : x
  2. Step 2: Convert to fraction form
    844.24/1,267.59 = 602.05/x
  3. Step 3: Cross multiply
    844.24x = 1,267.59 × 602.05
  4. Step 4: Simplify right side
    844.24x = 763,152.56
  5. Step 5: Solve for x
    x = 763,152.56/844.24
  6. Step 6: Final answer
    x = 903.95

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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.