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Finding the Fourth Proportional to 616.37, 856.12 and 599.09

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Solution

The fourth proportional to 616.37, 856.12 and 599.09 is: 832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.37 : 856.12 = 599.09 : x
  2. Step 2: Convert to fraction form
    616.37/856.12 = 599.09/x
  3. Step 3: Cross multiply
    616.37x = 856.12 × 599.09
  4. Step 4: Simplify right side
    616.37x = 512,892.93
  5. Step 5: Solve for x
    x = 512,892.93/616.37
  6. Step 6: Final answer
    x = 832.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.