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Finding the Fourth Proportional to 908.82, 1,255.10 and 743.58

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Solution

The fourth proportional to 908.82, 1,255.10 and 743.58 is: 1,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,255.10 = 743.58 : x
  2. Step 2: Convert to fraction form
    908.82/1,255.10 = 743.58/x
  3. Step 3: Cross multiply
    908.82x = 1,255.10 × 743.58
  4. Step 4: Simplify right side
    908.82x = 933,263.54
  5. Step 5: Solve for x
    x = 933,263.54/908.82
  6. Step 6: Final answer
    x = 1,026.90

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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.