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Finding the Fourth Proportional to 774.98, 1,163.10 and 768.90

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Solution

The fourth proportional to 774.98, 1,163.10 and 768.90 is: 1,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,163.10 = 768.90 : x
  2. Step 2: Convert to fraction form
    774.98/1,163.10 = 768.90/x
  3. Step 3: Cross multiply
    774.98x = 1,163.10 × 768.90
  4. Step 4: Simplify right side
    774.98x = 894,307.59
  5. Step 5: Solve for x
    x = 894,307.59/774.98
  6. Step 6: Final answer
    x = 1,153.98

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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.