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Finding the Fourth Proportional to 689.92, 1,026.32 and 682.96

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Solution

The fourth proportional to 689.92, 1,026.32 and 682.96 is: 1,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 1,026.32 = 682.96 : x
  2. Step 2: Convert to fraction form
    689.92/1,026.32 = 682.96/x
  3. Step 3: Cross multiply
    689.92x = 1,026.32 × 682.96
  4. Step 4: Simplify right side
    689.92x = 700,935.51
  5. Step 5: Solve for x
    x = 700,935.51/689.92
  6. Step 6: Final answer
    x = 1,015.97

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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.