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Finding the Fourth Proportional to 559.37, 837.69 and 513.20

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Solution

The fourth proportional to 559.37, 837.69 and 513.20 is: 768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.37 : 837.69 = 513.20 : x
  2. Step 2: Convert to fraction form
    559.37/837.69 = 513.20/x
  3. Step 3: Cross multiply
    559.37x = 837.69 × 513.20
  4. Step 4: Simplify right side
    559.37x = 429,902.51
  5. Step 5: Solve for x
    x = 429,902.51/559.37
  6. Step 6: Final answer
    x = 768.55

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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.