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Finding the Fourth Proportional to 696.03, 1,042.52 and 451.81

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Solution

The fourth proportional to 696.03, 1,042.52 and 451.81 is: 676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.03 : 1,042.52 = 451.81 : x
  2. Step 2: Convert to fraction form
    696.03/1,042.52 = 451.81/x
  3. Step 3: Cross multiply
    696.03x = 1,042.52 × 451.81
  4. Step 4: Simplify right side
    696.03x = 471,022.55
  5. Step 5: Solve for x
    x = 471,022.55/696.03
  6. Step 6: Final answer
    x = 676.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.