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Finding the Fourth Proportional to 992.13, 1,364.79 and 952.17

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Solution

The fourth proportional to 992.13, 1,364.79 and 952.17 is: 1,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.13 : 1,364.79 = 952.17 : x
  2. Step 2: Convert to fraction form
    992.13/1,364.79 = 952.17/x
  3. Step 3: Cross multiply
    992.13x = 1,364.79 × 952.17
  4. Step 4: Simplify right side
    992.13x = 1,299,512.09
  5. Step 5: Solve for x
    x = 1,299,512.09/992.13
  6. Step 6: Final answer
    x = 1,309.82

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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.