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Finding the Fourth Proportional to 992.49, 1,369.86 and 660.93

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Solution

The fourth proportional to 992.49, 1,369.86 and 660.93 is: 912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.49 : 1,369.86 = 660.93 : x
  2. Step 2: Convert to fraction form
    992.49/1,369.86 = 660.93/x
  3. Step 3: Cross multiply
    992.49x = 1,369.86 × 660.93
  4. Step 4: Simplify right side
    992.49x = 905,381.57
  5. Step 5: Solve for x
    x = 905,381.57/992.49
  6. Step 6: Final answer
    x = 912.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.