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Finding the Fourth Proportional to 922.44, 1,383.20 and 511.86

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Solution

The fourth proportional to 922.44, 1,383.20 and 511.86 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.44 : 1,383.20 = 511.86 : x
  2. Step 2: Convert to fraction form
    922.44/1,383.20 = 511.86/x
  3. Step 3: Cross multiply
    922.44x = 1,383.20 × 511.86
  4. Step 4: Simplify right side
    922.44x = 708,004.75
  5. Step 5: Solve for x
    x = 708,004.75/922.44
  6. Step 6: Final answer
    x = 767.53

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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.