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Finding the Fourth Proportional to 990.20, 1,366.68 and 597.44

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Solution

The fourth proportional to 990.20, 1,366.68 and 597.44 is: 824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.20 : 1,366.68 = 597.44 : x
  2. Step 2: Convert to fraction form
    990.20/1,366.68 = 597.44/x
  3. Step 3: Cross multiply
    990.20x = 1,366.68 × 597.44
  4. Step 4: Simplify right side
    990.20x = 816,509.30
  5. Step 5: Solve for x
    x = 816,509.30/990.20
  6. Step 6: Final answer
    x = 824.59

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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.