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Finding the Fourth Proportional to 991.80, 1,368.97 and 598.85

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Solution

The fourth proportional to 991.80, 1,368.97 and 598.85 is: 826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.80 : 1,368.97 = 598.85 : x
  2. Step 2: Convert to fraction form
    991.80/1,368.97 = 598.85/x
  3. Step 3: Cross multiply
    991.80x = 1,368.97 × 598.85
  4. Step 4: Simplify right side
    991.80x = 819,804.69
  5. Step 5: Solve for x
    x = 819,804.69/991.80
  6. Step 6: Final answer
    x = 826.58

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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.