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Finding the Fourth Proportional to 991.91, 1,367.83 and 598.70

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Solution

The fourth proportional to 991.91, 1,367.83 and 598.70 is: 825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.91 : 1,367.83 = 598.70 : x
  2. Step 2: Convert to fraction form
    991.91/1,367.83 = 598.70/x
  3. Step 3: Cross multiply
    991.91x = 1,367.83 × 598.70
  4. Step 4: Simplify right side
    991.91x = 818,919.82
  5. Step 5: Solve for x
    x = 818,919.82/991.91
  6. Step 6: Final answer
    x = 825.60

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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.