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Finding the Fourth Proportional to 991.05, 1,367.22 and 597.86

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Solution

The fourth proportional to 991.05, 1,367.22 and 597.86 is: 824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.05 : 1,367.22 = 597.86 : x
  2. Step 2: Convert to fraction form
    991.05/1,367.22 = 597.86/x
  3. Step 3: Cross multiply
    991.05x = 1,367.22 × 597.86
  4. Step 4: Simplify right side
    991.05x = 817,399.31
  5. Step 5: Solve for x
    x = 817,399.31/991.05
  6. Step 6: Final answer
    x = 824.78

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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.