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Finding the Fourth Proportional to 773.48, 1,160.21 and 513.98

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Solution

The fourth proportional to 773.48, 1,160.21 and 513.98 is: 770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.48 : 1,160.21 = 513.98 : x
  2. Step 2: Convert to fraction form
    773.48/1,160.21 = 513.98/x
  3. Step 3: Cross multiply
    773.48x = 1,160.21 × 513.98
  4. Step 4: Simplify right side
    773.48x = 596,331.10
  5. Step 5: Solve for x
    x = 596,331.10/773.48
  6. Step 6: Final answer
    x = 770.97

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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.