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Finding the Fourth Proportional to 748.73, 1,031.68 and 696.82

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Solution

The fourth proportional to 748.73, 1,031.68 and 696.82 is: 960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.73 : 1,031.68 = 696.82 : x
  2. Step 2: Convert to fraction form
    748.73/1,031.68 = 696.82/x
  3. Step 3: Cross multiply
    748.73x = 1,031.68 × 696.82
  4. Step 4: Simplify right side
    748.73x = 718,895.26
  5. Step 5: Solve for x
    x = 718,895.26/748.73
  6. Step 6: Final answer
    x = 960.16

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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.