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Finding the Fourth Proportional to 844.40, 1,267.74 and 567.68

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Solution

The fourth proportional to 844.40, 1,267.74 and 567.68 is: 852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.40 : 1,267.74 = 567.68 : x
  2. Step 2: Convert to fraction form
    844.40/1,267.74 = 567.68/x
  3. Step 3: Cross multiply
    844.40x = 1,267.74 × 567.68
  4. Step 4: Simplify right side
    844.40x = 719,664.30
  5. Step 5: Solve for x
    x = 719,664.30/844.40
  6. Step 6: Final answer
    x = 852.28

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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.