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Finding the Fourth Proportional to 908.49, 1,253.91 and 535.33

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Solution

The fourth proportional to 908.49, 1,253.91 and 535.33 is: 738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.49 : 1,253.91 = 535.33 : x
  2. Step 2: Convert to fraction form
    908.49/1,253.91 = 535.33/x
  3. Step 3: Cross multiply
    908.49x = 1,253.91 × 535.33
  4. Step 4: Simplify right side
    908.49x = 671,257.21
  5. Step 5: Solve for x
    x = 671,257.21/908.49
  6. Step 6: Final answer
    x = 738.87

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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.