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Finding the Fourth Proportional to 684.17, 1,018.97 and 659.96

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Solution

The fourth proportional to 684.17, 1,018.97 and 659.96 is: 982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 1,018.97 = 659.96 : x
  2. Step 2: Convert to fraction form
    684.17/1,018.97 = 659.96/x
  3. Step 3: Cross multiply
    684.17x = 1,018.97 × 659.96
  4. Step 4: Simplify right side
    684.17x = 672,471.05
  5. Step 5: Solve for x
    x = 672,471.05/684.17
  6. Step 6: Final answer
    x = 982.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.