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Finding the Fourth Proportional to 991.31, 1,367.82 and 571.68

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Solution

The fourth proportional to 991.31, 1,367.82 and 571.68 is: 788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.31 : 1,367.82 = 571.68 : x
  2. Step 2: Convert to fraction form
    991.31/1,367.82 = 571.68/x
  3. Step 3: Cross multiply
    991.31x = 1,367.82 × 571.68
  4. Step 4: Simplify right side
    991.31x = 781,955.34
  5. Step 5: Solve for x
    x = 781,955.34/991.31
  6. Step 6: Final answer
    x = 788.81

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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.