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Finding the Fourth Proportional to 991.26, 1,367.90 and 598.20

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Solution

The fourth proportional to 991.26, 1,367.90 and 598.20 is: 825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.26 : 1,367.90 = 598.20 : x
  2. Step 2: Convert to fraction form
    991.26/1,367.90 = 598.20/x
  3. Step 3: Cross multiply
    991.26x = 1,367.90 × 598.20
  4. Step 4: Simplify right side
    991.26x = 818,277.78
  5. Step 5: Solve for x
    x = 818,277.78/991.26
  6. Step 6: Final answer
    x = 825.49

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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.