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Finding the Fourth Proportional to 686.21, 947.64 and 490.74

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Solution

The fourth proportional to 686.21, 947.64 and 490.74 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.21 : 947.64 = 490.74 : x
  2. Step 2: Convert to fraction form
    686.21/947.64 = 490.74/x
  3. Step 3: Cross multiply
    686.21x = 947.64 × 490.74
  4. Step 4: Simplify right side
    686.21x = 465,044.85
  5. Step 5: Solve for x
    x = 465,044.85/686.21
  6. Step 6: Final answer
    x = 677.71

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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.