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Finding the Fourth Proportional to 995.49, 1,373.36 and 597.26

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Solution

The fourth proportional to 995.49, 1,373.36 and 597.26 is: 823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.49 : 1,373.36 = 597.26 : x
  2. Step 2: Convert to fraction form
    995.49/1,373.36 = 597.26/x
  3. Step 3: Cross multiply
    995.49x = 1,373.36 × 597.26
  4. Step 4: Simplify right side
    995.49x = 820,253.44
  5. Step 5: Solve for x
    x = 820,253.44/995.49
  6. Step 6: Final answer
    x = 823.97

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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.