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Finding the Fourth Proportional to 908.73, 1,254.09 and 535.73

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Solution

The fourth proportional to 908.73, 1,254.09 and 535.73 is: 739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.73 : 1,254.09 = 535.73 : x
  2. Step 2: Convert to fraction form
    908.73/1,254.09 = 535.73/x
  3. Step 3: Cross multiply
    908.73x = 1,254.09 × 535.73
  4. Step 4: Simplify right side
    908.73x = 671,847.37
  5. Step 5: Solve for x
    x = 671,847.37/908.73
  6. Step 6: Final answer
    x = 739.33

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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.