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Finding the Fourth Proportional to 600.86, 896.95 and 576.56

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Solution

The fourth proportional to 600.86, 896.95 and 576.56 is: 860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.86 : 896.95 = 576.56 : x
  2. Step 2: Convert to fraction form
    600.86/896.95 = 576.56/x
  3. Step 3: Cross multiply
    600.86x = 896.95 × 576.56
  4. Step 4: Simplify right side
    600.86x = 517,145.49
  5. Step 5: Solve for x
    x = 517,145.49/600.86
  6. Step 6: Final answer
    x = 860.68

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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.