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Finding the Fourth Proportional to 600.77, 900.57 and 513.92

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Solution

The fourth proportional to 600.77, 900.57 and 513.92 is: 770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 900.57 = 513.92 : x
  2. Step 2: Convert to fraction form
    600.77/900.57 = 513.92/x
  3. Step 3: Cross multiply
    600.77x = 900.57 × 513.92
  4. Step 4: Simplify right side
    600.77x = 462,820.93
  5. Step 5: Solve for x
    x = 462,820.93/600.77
  6. Step 6: Final answer
    x = 770.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.