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Finding the Fourth Proportional to 906.55, 1,249.45 and 748.25

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Solution

The fourth proportional to 906.55, 1,249.45 and 748.25 is: 1,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.55 : 1,249.45 = 748.25 : x
  2. Step 2: Convert to fraction form
    906.55/1,249.45 = 748.25/x
  3. Step 3: Cross multiply
    906.55x = 1,249.45 × 748.25
  4. Step 4: Simplify right side
    906.55x = 934,900.96
  5. Step 5: Solve for x
    x = 934,900.96/906.55
  6. Step 6: Final answer
    x = 1,031.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.