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Finding the Fourth Proportional to 844.22, 1,265.10 and 375.12

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Solution

The fourth proportional to 844.22, 1,265.10 and 375.12 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.22 : 1,265.10 = 375.12 : x
  2. Step 2: Convert to fraction form
    844.22/1,265.10 = 375.12/x
  3. Step 3: Cross multiply
    844.22x = 1,265.10 × 375.12
  4. Step 4: Simplify right side
    844.22x = 474,564.31
  5. Step 5: Solve for x
    x = 474,564.31/844.22
  6. Step 6: Final answer
    x = 562.14

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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.