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Finding the Fourth Proportional to 992.01, 1,369.23 and 598.98

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Solution

The fourth proportional to 992.01, 1,369.23 and 598.98 is: 826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.01 : 1,369.23 = 598.98 : x
  2. Step 2: Convert to fraction form
    992.01/1,369.23 = 598.98/x
  3. Step 3: Cross multiply
    992.01x = 1,369.23 × 598.98
  4. Step 4: Simplify right side
    992.01x = 820,141.39
  5. Step 5: Solve for x
    x = 820,141.39/992.01
  6. Step 6: Final answer
    x = 826.75

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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.