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Finding the Fourth Proportional to 921.52, 1,383.90 and 557.02

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Solution

The fourth proportional to 921.52, 1,383.90 and 557.02 is: 836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.52 : 1,383.90 = 557.02 : x
  2. Step 2: Convert to fraction form
    921.52/1,383.90 = 557.02/x
  3. Step 3: Cross multiply
    921.52x = 1,383.90 × 557.02
  4. Step 4: Simplify right side
    921.52x = 770,859.98
  5. Step 5: Solve for x
    x = 770,859.98/921.52
  6. Step 6: Final answer
    x = 836.51

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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.