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Finding the Fourth Proportional to 684.66, 1,027.42 and 682.14

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Solution

The fourth proportional to 684.66, 1,027.42 and 682.14 is: 1,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,027.42 = 682.14 : x
  2. Step 2: Convert to fraction form
    684.66/1,027.42 = 682.14/x
  3. Step 3: Cross multiply
    684.66x = 1,027.42 × 682.14
  4. Step 4: Simplify right side
    684.66x = 700,844.28
  5. Step 5: Solve for x
    x = 700,844.28/684.66
  6. Step 6: Final answer
    x = 1,023.64

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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.