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Finding the Fourth Proportional to 991.76, 1,367.98 and 598.52

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Solution

The fourth proportional to 991.76, 1,367.98 and 598.52 is: 825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.76 : 1,367.98 = 598.52 : x
  2. Step 2: Convert to fraction form
    991.76/1,367.98 = 598.52/x
  3. Step 3: Cross multiply
    991.76x = 1,367.98 × 598.52
  4. Step 4: Simplify right side
    991.76x = 818,763.39
  5. Step 5: Solve for x
    x = 818,763.39/991.76
  6. Step 6: Final answer
    x = 825.57

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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.