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Finding the Fourth Proportional to 992.66, 1,366.75 and 842.97

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Solution

The fourth proportional to 992.66, 1,366.75 and 842.97 is: 1,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.66 : 1,366.75 = 842.97 : x
  2. Step 2: Convert to fraction form
    992.66/1,366.75 = 842.97/x
  3. Step 3: Cross multiply
    992.66x = 1,366.75 × 842.97
  4. Step 4: Simplify right side
    992.66x = 1,152,129.25
  5. Step 5: Solve for x
    x = 1,152,129.25/992.66
  6. Step 6: Final answer
    x = 1,160.65

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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.