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Finding the Fourth Proportional to 992.91, 1,370.21 and 599.86

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Solution

The fourth proportional to 992.91, 1,370.21 and 599.86 is: 827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.91 : 1,370.21 = 599.86 : x
  2. Step 2: Convert to fraction form
    992.91/1,370.21 = 599.86/x
  3. Step 3: Cross multiply
    992.91x = 1,370.21 × 599.86
  4. Step 4: Simplify right side
    992.91x = 821,927.32
  5. Step 5: Solve for x
    x = 821,927.32/992.91
  6. Step 6: Final answer
    x = 827.80

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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.