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Finding the Fourth Proportional to 990.22, 1,366.50 and 597.17

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Solution

The fourth proportional to 990.22, 1,366.50 and 597.17 is: 824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.22 : 1,366.50 = 597.17 : x
  2. Step 2: Convert to fraction form
    990.22/1,366.50 = 597.17/x
  3. Step 3: Cross multiply
    990.22x = 1,366.50 × 597.17
  4. Step 4: Simplify right side
    990.22x = 816,025.97
  5. Step 5: Solve for x
    x = 816,025.97/990.22
  6. Step 6: Final answer
    x = 824.09

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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.