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Finding the Fourth Proportional to 992.69, 1,369.76 and 594.23

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Solution

The fourth proportional to 992.69, 1,369.76 and 594.23 is: 819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.69 : 1,369.76 = 594.23 : x
  2. Step 2: Convert to fraction form
    992.69/1,369.76 = 594.23/x
  3. Step 3: Cross multiply
    992.69x = 1,369.76 × 594.23
  4. Step 4: Simplify right side
    992.69x = 813,942.66
  5. Step 5: Solve for x
    x = 813,942.66/992.69
  6. Step 6: Final answer
    x = 819.94

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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.