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Finding the Fourth Proportional to 992.61, 1,369.58 and 599.62

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Solution

The fourth proportional to 992.61, 1,369.58 and 599.62 is: 827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.61 : 1,369.58 = 599.62 : x
  2. Step 2: Convert to fraction form
    992.61/1,369.58 = 599.62/x
  3. Step 3: Cross multiply
    992.61x = 1,369.58 × 599.62
  4. Step 4: Simplify right side
    992.61x = 821,227.56
  5. Step 5: Solve for x
    x = 821,227.56/992.61
  6. Step 6: Final answer
    x = 827.34

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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.