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Finding the Fourth Proportional to 1,039.98, 1,435.41 and 685.96

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Solution

The fourth proportional to 1,039.98, 1,435.41 and 685.96 is: 946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.98 : 1,435.41 = 685.96 : x
  2. Step 2: Convert to fraction form
    1,039.98/1,435.41 = 685.96/x
  3. Step 3: Cross multiply
    1,039.98x = 1,435.41 × 685.96
  4. Step 4: Simplify right side
    1,039.98x = 984,630.41
  5. Step 5: Solve for x
    x = 984,630.41/1,039.98
  6. Step 6: Final answer
    x = 946.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.