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Finding the Fourth Proportional to 774.06, 1,159.73 and 513.91

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Solution

The fourth proportional to 774.06, 1,159.73 and 513.91 is: 769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,159.73 = 513.91 : x
  2. Step 2: Convert to fraction form
    774.06/1,159.73 = 513.91/x
  3. Step 3: Cross multiply
    774.06x = 1,159.73 × 513.91
  4. Step 4: Simplify right side
    774.06x = 595,996.84
  5. Step 5: Solve for x
    x = 595,996.84/774.06
  6. Step 6: Final answer
    x = 769.96

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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.