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Finding the Fourth Proportional to 992.25, 1,369.26 and 572.76

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Solution

The fourth proportional to 992.25, 1,369.26 and 572.76 is: 790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.25 : 1,369.26 = 572.76 : x
  2. Step 2: Convert to fraction form
    992.25/1,369.26 = 572.76/x
  3. Step 3: Cross multiply
    992.25x = 1,369.26 × 572.76
  4. Step 4: Simplify right side
    992.25x = 784,257.36
  5. Step 5: Solve for x
    x = 784,257.36/992.25
  6. Step 6: Final answer
    x = 790.38

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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.