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Finding the Fourth Proportional to 1,044.90, 1,433.70 and 996.30

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Solution

The fourth proportional to 1,044.90, 1,433.70 and 996.30 is: 1,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.90 : 1,433.70 = 996.30 : x
  2. Step 2: Convert to fraction form
    1,044.90/1,433.70 = 996.30/x
  3. Step 3: Cross multiply
    1,044.90x = 1,433.70 × 996.30
  4. Step 4: Simplify right side
    1,044.90x = 1,428,395.31
  5. Step 5: Solve for x
    x = 1,428,395.31/1,044.90
  6. Step 6: Final answer
    x = 1,367.02

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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.