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Finding the Fourth Proportional to 990.43, 1,367.23 and 592.23

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Solution

The fourth proportional to 990.43, 1,367.23 and 592.23 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.43 : 1,367.23 = 592.23 : x
  2. Step 2: Convert to fraction form
    990.43/1,367.23 = 592.23/x
  3. Step 3: Cross multiply
    990.43x = 1,367.23 × 592.23
  4. Step 4: Simplify right side
    990.43x = 809,714.62
  5. Step 5: Solve for x
    x = 809,714.62/990.43
  6. Step 6: Final answer
    x = 817.54

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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.