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Finding the Fourth Proportional to 908.52, 1,253.76 and 494.52

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Solution

The fourth proportional to 908.52, 1,253.76 and 494.52 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.52 : 1,253.76 = 494.52 : x
  2. Step 2: Convert to fraction form
    908.52/1,253.76 = 494.52/x
  3. Step 3: Cross multiply
    908.52x = 1,253.76 × 494.52
  4. Step 4: Simplify right side
    908.52x = 620,009.40
  5. Step 5: Solve for x
    x = 620,009.40/908.52
  6. Step 6: Final answer
    x = 682.44

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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.