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Finding the Fourth Proportional to 574.11, 856.76 and 512.60

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Solution

The fourth proportional to 574.11, 856.76 and 512.60 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.11 : 856.76 = 512.60 : x
  2. Step 2: Convert to fraction form
    574.11/856.76 = 512.60/x
  3. Step 3: Cross multiply
    574.11x = 856.76 × 512.60
  4. Step 4: Simplify right side
    574.11x = 439,168.33
  5. Step 5: Solve for x
    x = 439,168.33/574.11
  6. Step 6: Final answer
    x = 764.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.