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Finding the Fourth Proportional to 992.11, 1,488.24 and 261.67

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Solution

The fourth proportional to 992.11, 1,488.24 and 261.67 is: 392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.11 : 1,488.24 = 261.67 : x
  2. Step 2: Convert to fraction form
    992.11/1,488.24 = 261.67/x
  3. Step 3: Cross multiply
    992.11x = 1,488.24 × 261.67
  4. Step 4: Simplify right side
    992.11x = 389,426.45
  5. Step 5: Solve for x
    x = 389,426.45/992.11
  6. Step 6: Final answer
    x = 392.52

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Why These Related Problems?

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