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Finding the Fourth Proportional to 686.21, 1,034.24 and 646.52

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Solution

The fourth proportional to 686.21, 1,034.24 and 646.52 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.21 : 1,034.24 = 646.52 : x
  2. Step 2: Convert to fraction form
    686.21/1,034.24 = 646.52/x
  3. Step 3: Cross multiply
    686.21x = 1,034.24 × 646.52
  4. Step 4: Simplify right side
    686.21x = 668,648.44
  5. Step 5: Solve for x
    x = 668,648.44/686.21
  6. Step 6: Final answer
    x = 974.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.