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Finding the Fourth Proportional to 773.35, 1,160.02 and 362.77

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Solution

The fourth proportional to 773.35, 1,160.02 and 362.77 is: 544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.35 : 1,160.02 = 362.77 : x
  2. Step 2: Convert to fraction form
    773.35/1,160.02 = 362.77/x
  3. Step 3: Cross multiply
    773.35x = 1,160.02 × 362.77
  4. Step 4: Simplify right side
    773.35x = 420,819.98
  5. Step 5: Solve for x
    x = 420,819.98/773.35
  6. Step 6: Final answer
    x = 544.15

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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.