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Finding the Fourth Proportional to 990.45, 1,367.13 and 592.40

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Solution

The fourth proportional to 990.45, 1,367.13 and 592.40 is: 817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.45 : 1,367.13 = 592.40 : x
  2. Step 2: Convert to fraction form
    990.45/1,367.13 = 592.40/x
  3. Step 3: Cross multiply
    990.45x = 1,367.13 × 592.40
  4. Step 4: Simplify right side
    990.45x = 809,880.98
  5. Step 5: Solve for x
    x = 809,880.98/990.45
  6. Step 6: Final answer
    x = 817.69

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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.