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Finding the Fourth Proportional to 991.98, 1,367.85 and 811.98

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Solution

The fourth proportional to 991.98, 1,367.85 and 811.98 is: 1,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.98 : 1,367.85 = 811.98 : x
  2. Step 2: Convert to fraction form
    991.98/1,367.85 = 811.98/x
  3. Step 3: Cross multiply
    991.98x = 1,367.85 × 811.98
  4. Step 4: Simplify right side
    991.98x = 1,110,666.84
  5. Step 5: Solve for x
    x = 1,110,666.84/991.98
  6. Step 6: Final answer
    x = 1,119.65

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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.