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Finding the Fourth Proportional to 991.82, 1,368.72 and 598.97

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Solution

The fourth proportional to 991.82, 1,368.72 and 598.97 is: 826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.82 : 1,368.72 = 598.97 : x
  2. Step 2: Convert to fraction form
    991.82/1,368.72 = 598.97/x
  3. Step 3: Cross multiply
    991.82x = 1,368.72 × 598.97
  4. Step 4: Simplify right side
    991.82x = 819,822.22
  5. Step 5: Solve for x
    x = 819,822.22/991.82
  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.