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Finding the Fourth Proportional to 991.44, 1,486.82 and 342.02

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Solution

The fourth proportional to 991.44, 1,486.82 and 342.02 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,486.82 = 342.02 : x
  2. Step 2: Convert to fraction form
    991.44/1,486.82 = 342.02/x
  3. Step 3: Cross multiply
    991.44x = 1,486.82 × 342.02
  4. Step 4: Simplify right side
    991.44x = 508,513.03
  5. Step 5: Solve for x
    x = 508,513.03/991.44
  6. Step 6: Final answer
    x = 512.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.