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Finding the Fourth Proportional to 991.62, 1,486.92 and 342.14

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Solution

The fourth proportional to 991.62, 1,486.92 and 342.14 is: 513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.62 : 1,486.92 = 342.14 : x
  2. Step 2: Convert to fraction form
    991.62/1,486.92 = 342.14/x
  3. Step 3: Cross multiply
    991.62x = 1,486.92 × 342.14
  4. Step 4: Simplify right side
    991.62x = 508,734.81
  5. Step 5: Solve for x
    x = 508,734.81/991.62
  6. Step 6: Final answer
    x = 513.03

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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.