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Finding the Fourth Proportional to 951.82, 1,313.70 and 597.96

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Solution

The fourth proportional to 951.82, 1,313.70 and 597.96 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.82 : 1,313.70 = 597.96 : x
  2. Step 2: Convert to fraction form
    951.82/1,313.70 = 597.96/x
  3. Step 3: Cross multiply
    951.82x = 1,313.70 × 597.96
  4. Step 4: Simplify right side
    951.82x = 785,540.05
  5. Step 5: Solve for x
    x = 785,540.05/951.82
  6. Step 6: Final answer
    x = 825.30

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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.