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Finding the Fourth Proportional to 991.53, 1,367.96 and 598.41

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Solution

The fourth proportional to 991.53, 1,367.96 and 598.41 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.53 : 1,367.96 = 598.41 : x
  2. Step 2: Convert to fraction form
    991.53/1,367.96 = 598.41/x
  3. Step 3: Cross multiply
    991.53x = 1,367.96 × 598.41
  4. Step 4: Simplify right side
    991.53x = 818,597.95
  5. Step 5: Solve for x
    x = 818,597.95/991.53
  6. Step 6: Final answer
    x = 825.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.