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Finding the Fourth Proportional to 597.14, 823.01 and 513.90

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Solution

The fourth proportional to 597.14, 823.01 and 513.90 is: 708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 823.01 = 513.90 : x
  2. Step 2: Convert to fraction form
    597.14/823.01 = 513.90/x
  3. Step 3: Cross multiply
    597.14x = 823.01 × 513.90
  4. Step 4: Simplify right side
    597.14x = 422,942.27
  5. Step 5: Solve for x
    x = 422,942.27/597.14
  6. Step 6: Final answer
    x = 708.29

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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.