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Finding the Fourth Proportional to 992.62, 1,369.97 and 826.57

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Solution

The fourth proportional to 992.62, 1,369.97 and 826.57 is: 1,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.62 : 1,369.97 = 826.57 : x
  2. Step 2: Convert to fraction form
    992.62/1,369.97 = 826.57/x
  3. Step 3: Cross multiply
    992.62x = 1,369.97 × 826.57
  4. Step 4: Simplify right side
    992.62x = 1,132,376.10
  5. Step 5: Solve for x
    x = 1,132,376.10/992.62
  6. Step 6: Final answer
    x = 1,140.80

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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.