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Finding the Fourth Proportional to 991.19, 1,367.97 and 598.43

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Solution

The fourth proportional to 991.19, 1,367.97 and 598.43 is: 825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.19 : 1,367.97 = 598.43 : x
  2. Step 2: Convert to fraction form
    991.19/1,367.97 = 598.43/x
  3. Step 3: Cross multiply
    991.19x = 1,367.97 × 598.43
  4. Step 4: Simplify right side
    991.19x = 818,634.29
  5. Step 5: Solve for x
    x = 818,634.29/991.19
  6. Step 6: Final answer
    x = 825.91

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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.