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Finding the Fourth Proportional to 1,033.84, 1,418.26 and 1,002.62

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Solution

The fourth proportional to 1,033.84, 1,418.26 and 1,002.62 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.84 : 1,418.26 = 1,002.62 : x
  2. Step 2: Convert to fraction form
    1,033.84/1,418.26 = 1,002.62/x
  3. Step 3: Cross multiply
    1,033.84x = 1,418.26 × 1,002.62
  4. Step 4: Simplify right side
    1,033.84x = 1,421,970.83
  5. Step 5: Solve for x
    x = 1,421,970.83/1,033.84
  6. Step 6: Final answer
    x = 1,375.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.