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Finding the Fourth Proportional to 561.06, 839.86 and 513.22

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Solution

The fourth proportional to 561.06, 839.86 and 513.22 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.06 : 839.86 = 513.22 : x
  2. Step 2: Convert to fraction form
    561.06/839.86 = 513.22/x
  3. Step 3: Cross multiply
    561.06x = 839.86 × 513.22
  4. Step 4: Simplify right side
    561.06x = 431,029.57
  5. Step 5: Solve for x
    x = 431,029.57/561.06
  6. Step 6: Final answer
    x = 768.24

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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.