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Finding the Fourth Proportional to 906.94, 1,251.57 and 492.94

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Solution

The fourth proportional to 906.94, 1,251.57 and 492.94 is: 680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.94 : 1,251.57 = 492.94 : x
  2. Step 2: Convert to fraction form
    906.94/1,251.57 = 492.94/x
  3. Step 3: Cross multiply
    906.94x = 1,251.57 × 492.94
  4. Step 4: Simplify right side
    906.94x = 616,948.92
  5. Step 5: Solve for x
    x = 616,948.92/906.94
  6. Step 6: Final answer
    x = 680.25

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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.