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Finding the Fourth Proportional to 990.41, 1,367.22 and 592.25

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Solution

The fourth proportional to 990.41, 1,367.22 and 592.25 is: 817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.41 : 1,367.22 = 592.25 : x
  2. Step 2: Convert to fraction form
    990.41/1,367.22 = 592.25/x
  3. Step 3: Cross multiply
    990.41x = 1,367.22 × 592.25
  4. Step 4: Simplify right side
    990.41x = 809,729.21
  5. Step 5: Solve for x
    x = 809,729.21/990.41
  6. Step 6: Final answer
    x = 817.57

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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.