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Finding the Fourth Proportional to 684.60, 1,027.14 and 635.64

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Solution

The fourth proportional to 684.60, 1,027.14 and 635.64 is: 953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 1,027.14 = 635.64 : x
  2. Step 2: Convert to fraction form
    684.60/1,027.14 = 635.64/x
  3. Step 3: Cross multiply
    684.60x = 1,027.14 × 635.64
  4. Step 4: Simplify right side
    684.60x = 652,891.27
  5. Step 5: Solve for x
    x = 652,891.27/684.60
  6. Step 6: Final answer
    x = 953.68

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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.