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Finding the Fourth Proportional to 995.06, 1,372.24 and 596.66

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Solution

The fourth proportional to 995.06, 1,372.24 and 596.66 is: 822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.06 : 1,372.24 = 596.66 : x
  2. Step 2: Convert to fraction form
    995.06/1,372.24 = 596.66/x
  3. Step 3: Cross multiply
    995.06x = 1,372.24 × 596.66
  4. Step 4: Simplify right side
    995.06x = 818,762.32
  5. Step 5: Solve for x
    x = 818,762.32/995.06
  6. Step 6: Final answer
    x = 822.83

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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.