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Finding the Fourth Proportional to 774.61, 1,159.67 and 511.36

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Solution

The fourth proportional to 774.61, 1,159.67 and 511.36 is: 765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.61 : 1,159.67 = 511.36 : x
  2. Step 2: Convert to fraction form
    774.61/1,159.67 = 511.36/x
  3. Step 3: Cross multiply
    774.61x = 1,159.67 × 511.36
  4. Step 4: Simplify right side
    774.61x = 593,010.88
  5. Step 5: Solve for x
    x = 593,010.88/774.61
  6. Step 6: Final answer
    x = 765.56

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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.