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Finding the Fourth Proportional to 1,033.50, 1,422.05 and 997.59

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Solution

The fourth proportional to 1,033.50, 1,422.05 and 997.59 is: 1,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.50 : 1,422.05 = 997.59 : x
  2. Step 2: Convert to fraction form
    1,033.50/1,422.05 = 997.59/x
  3. Step 3: Cross multiply
    1,033.50x = 1,422.05 × 997.59
  4. Step 4: Simplify right side
    1,033.50x = 1,418,617.87
  5. Step 5: Solve for x
    x = 1,418,617.87/1,033.50
  6. Step 6: Final answer
    x = 1,372.63

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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.