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Finding the Fourth Proportional to 995.20, 1,373.52 and 596.88

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Solution

The fourth proportional to 995.20, 1,373.52 and 596.88 is: 823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.20 : 1,373.52 = 596.88 : x
  2. Step 2: Convert to fraction form
    995.20/1,373.52 = 596.88/x
  3. Step 3: Cross multiply
    995.20x = 1,373.52 × 596.88
  4. Step 4: Simplify right side
    995.20x = 819,823.63
  5. Step 5: Solve for x
    x = 819,823.63/995.20
  6. Step 6: Final answer
    x = 823.78

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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.