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Finding the Fourth Proportional to 995.36, 1,373.76 and 597.12

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Solution

The fourth proportional to 995.36, 1,373.76 and 597.12 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.36 : 1,373.76 = 597.12 : x
  2. Step 2: Convert to fraction form
    995.36/1,373.76 = 597.12/x
  3. Step 3: Cross multiply
    995.36x = 1,373.76 × 597.12
  4. Step 4: Simplify right side
    995.36x = 820,299.57
  5. Step 5: Solve for x
    x = 820,299.57/995.36
  6. Step 6: Final answer
    x = 824.12

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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.