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Finding the Fourth Proportional to 992.17, 1,488.12 and 261.80

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Solution

The fourth proportional to 992.17, 1,488.12 and 261.80 is: 392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.17 : 1,488.12 = 261.80 : x
  2. Step 2: Convert to fraction form
    992.17/1,488.12 = 261.80/x
  3. Step 3: Cross multiply
    992.17x = 1,488.12 × 261.80
  4. Step 4: Simplify right side
    992.17x = 389,589.82
  5. Step 5: Solve for x
    x = 389,589.82/992.17
  6. Step 6: Final answer
    x = 392.67

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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.