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Finding the Fourth Proportional to 906.63, 1,251.14 and 492.63

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Solution

The fourth proportional to 906.63, 1,251.14 and 492.63 is: 679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.63 : 1,251.14 = 492.63 : x
  2. Step 2: Convert to fraction form
    906.63/1,251.14 = 492.63/x
  3. Step 3: Cross multiply
    906.63x = 1,251.14 × 492.63
  4. Step 4: Simplify right side
    906.63x = 616,349.10
  5. Step 5: Solve for x
    x = 616,349.10/906.63
  6. Step 6: Final answer
    x = 679.82

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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.