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Finding the Fourth Proportional to 844.22, 1,264.28 and 697.07

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Solution

The fourth proportional to 844.22, 1,264.28 and 697.07 is: 1,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.22 : 1,264.28 = 697.07 : x
  2. Step 2: Convert to fraction form
    844.22/1,264.28 = 697.07/x
  3. Step 3: Cross multiply
    844.22x = 1,264.28 × 697.07
  4. Step 4: Simplify right side
    844.22x = 881,291.33
  5. Step 5: Solve for x
    x = 881,291.33/844.22
  6. Step 6: Final answer
    x = 1,043.91

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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.