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Finding the Fourth Proportional to 773.46, 1,159.80 and 362.78

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Solution

The fourth proportional to 773.46, 1,159.80 and 362.78 is: 543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.46 : 1,159.80 = 362.78 : x
  2. Step 2: Convert to fraction form
    773.46/1,159.80 = 362.78/x
  3. Step 3: Cross multiply
    773.46x = 1,159.80 × 362.78
  4. Step 4: Simplify right side
    773.46x = 420,752.24
  5. Step 5: Solve for x
    x = 420,752.24/773.46
  6. Step 6: Final answer
    x = 543.99

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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.