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Finding the Fourth Proportional to 908, 1,253.07 and 494

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Solution

The fourth proportional to 908, 1,253.07 and 494 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    908 : 1,253.07 = 494 : x
  2. Step 2: Convert to fraction form
    908/1,253.07 = 494/x
  3. Step 3: Cross multiply
    908x = 1,253.07 × 494
  4. Step 4: Simplify right side
    908x = 619,016.58
  5. Step 5: Solve for x
    x = 619,016.58/908
  6. Step 6: Final answer
    x = 681.74

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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.