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Finding the Fourth Proportional to 906.14, 1,251.06 and 557.42

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Solution

The fourth proportional to 906.14, 1,251.06 and 557.42 is: 769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.14 : 1,251.06 = 557.42 : x
  2. Step 2: Convert to fraction form
    906.14/1,251.06 = 557.42/x
  3. Step 3: Cross multiply
    906.14x = 1,251.06 × 557.42
  4. Step 4: Simplify right side
    906.14x = 697,365.87
  5. Step 5: Solve for x
    x = 697,365.87/906.14
  6. Step 6: Final answer
    x = 769.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.