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Finding the Fourth Proportional to 685.64, 1,026.36 and 675.92

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Solution

The fourth proportional to 685.64, 1,026.36 and 675.92 is: 1,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.64 : 1,026.36 = 675.92 : x
  2. Step 2: Convert to fraction form
    685.64/1,026.36 = 675.92/x
  3. Step 3: Cross multiply
    685.64x = 1,026.36 × 675.92
  4. Step 4: Simplify right side
    685.64x = 693,737.25
  5. Step 5: Solve for x
    x = 693,737.25/685.64
  6. Step 6: Final answer
    x = 1,011.81

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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.