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Finding the Fourth Proportional to 606.95, 832.11 and 596.01

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Solution

The fourth proportional to 606.95, 832.11 and 596.01 is: 817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.95 : 832.11 = 596.01 : x
  2. Step 2: Convert to fraction form
    606.95/832.11 = 596.01/x
  3. Step 3: Cross multiply
    606.95x = 832.11 × 596.01
  4. Step 4: Simplify right side
    606.95x = 495,945.88
  5. Step 5: Solve for x
    x = 495,945.88/606.95
  6. Step 6: Final answer
    x = 817.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.