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Finding the Fourth Proportional to 906.73, 1,251.26 and 508.40

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Solution

The fourth proportional to 906.73, 1,251.26 and 508.40 is: 701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.73 : 1,251.26 = 508.40 : x
  2. Step 2: Convert to fraction form
    906.73/1,251.26 = 508.40/x
  3. Step 3: Cross multiply
    906.73x = 1,251.26 × 508.40
  4. Step 4: Simplify right side
    906.73x = 636,142.62
  5. Step 5: Solve for x
    x = 636,142.62/906.73
  6. Step 6: Final answer
    x = 701.58

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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.