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Finding the Fourth Proportional to 992.42, 1,369.66 and 599.46

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Solution

The fourth proportional to 992.42, 1,369.66 and 599.46 is: 827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.42 : 1,369.66 = 599.46 : x
  2. Step 2: Convert to fraction form
    992.42/1,369.66 = 599.46/x
  3. Step 3: Cross multiply
    992.42x = 1,369.66 × 599.46
  4. Step 4: Simplify right side
    992.42x = 821,056.38
  5. Step 5: Solve for x
    x = 821,056.38/992.42
  6. Step 6: Final answer
    x = 827.33

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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.