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Finding the Fourth Proportional to 748.73, 1,031.69 and 696.83

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Solution

The fourth proportional to 748.73, 1,031.69 and 696.83 is: 960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.73 : 1,031.69 = 696.83 : x
  2. Step 2: Convert to fraction form
    748.73/1,031.69 = 696.83/x
  3. Step 3: Cross multiply
    748.73x = 1,031.69 × 696.83
  4. Step 4: Simplify right side
    748.73x = 718,903.90
  5. Step 5: Solve for x
    x = 718,903.90/748.73
  6. Step 6: Final answer
    x = 960.17

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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.