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Finding the Fourth Proportional to 908.25, 1,253.07 and 554.07

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Solution

The fourth proportional to 908.25, 1,253.07 and 554.07 is: 764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.25 : 1,253.07 = 554.07 : x
  2. Step 2: Convert to fraction form
    908.25/1,253.07 = 554.07/x
  3. Step 3: Cross multiply
    908.25x = 1,253.07 × 554.07
  4. Step 4: Simplify right side
    908.25x = 694,293.19
  5. Step 5: Solve for x
    x = 694,293.19/908.25
  6. Step 6: Final answer
    x = 764.43

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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.