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Finding the Fourth Proportional to 922.88, 1,383.09 and 532.26

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Solution

The fourth proportional to 922.88, 1,383.09 and 532.26 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.88 : 1,383.09 = 532.26 : x
  2. Step 2: Convert to fraction form
    922.88/1,383.09 = 532.26/x
  3. Step 3: Cross multiply
    922.88x = 1,383.09 × 532.26
  4. Step 4: Simplify right side
    922.88x = 736,163.48
  5. Step 5: Solve for x
    x = 736,163.48/922.88
  6. Step 6: Final answer
    x = 797.68

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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.