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Finding the Fourth Proportional to 1,553.72, 2,331.02 and 513.82

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Solution

The fourth proportional to 1,553.72, 2,331.02 and 513.82 is: 770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.72 : 2,331.02 = 513.82 : x
  2. Step 2: Convert to fraction form
    1,553.72/2,331.02 = 513.82/x
  3. Step 3: Cross multiply
    1,553.72x = 2,331.02 × 513.82
  4. Step 4: Simplify right side
    1,553.72x = 1,197,720.15
  5. Step 5: Solve for x
    x = 1,197,720.15/1,553.72
  6. Step 6: Final answer
    x = 770.87

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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.