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Finding the Fourth Proportional to 990.39, 1,367.10 and 597.41

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Solution

The fourth proportional to 990.39, 1,367.10 and 597.41 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.39 : 1,367.10 = 597.41 : x
  2. Step 2: Convert to fraction form
    990.39/1,367.10 = 597.41/x
  3. Step 3: Cross multiply
    990.39x = 1,367.10 × 597.41
  4. Step 4: Simplify right side
    990.39x = 816,712.38
  5. Step 5: Solve for x
    x = 816,712.38/990.39
  6. Step 6: Final answer
    x = 824.64

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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.