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Finding the Fourth Proportional to 990.54, 1,366.20 and 597.42

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Solution

The fourth proportional to 990.54, 1,366.20 and 597.42 is: 823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.54 : 1,366.20 = 597.42 : x
  2. Step 2: Convert to fraction form
    990.54/1,366.20 = 597.42/x
  3. Step 3: Cross multiply
    990.54x = 1,366.20 × 597.42
  4. Step 4: Simplify right side
    990.54x = 816,195.20
  5. Step 5: Solve for x
    x = 816,195.20/990.54
  6. Step 6: Final answer
    x = 823.99

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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.