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Finding the Fourth Proportional to 995.47, 1,373.39 and 597.15

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Solution

The fourth proportional to 995.47, 1,373.39 and 597.15 is: 823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.47 : 1,373.39 = 597.15 : x
  2. Step 2: Convert to fraction form
    995.47/1,373.39 = 597.15/x
  3. Step 3: Cross multiply
    995.47x = 1,373.39 × 597.15
  4. Step 4: Simplify right side
    995.47x = 820,119.09
  5. Step 5: Solve for x
    x = 820,119.09/995.47
  6. Step 6: Final answer
    x = 823.85

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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.