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Finding the Fourth Proportional to 992.14, 1,369.11 and 661.17

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Solution

The fourth proportional to 992.14, 1,369.11 and 661.17 is: 912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.14 : 1,369.11 = 661.17 : x
  2. Step 2: Convert to fraction form
    992.14/1,369.11 = 661.17/x
  3. Step 3: Cross multiply
    992.14x = 1,369.11 × 661.17
  4. Step 4: Simplify right side
    992.14x = 905,214.46
  5. Step 5: Solve for x
    x = 905,214.46/992.14
  6. Step 6: Final answer
    x = 912.39

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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.