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Finding the Fourth Proportional to 776.19, 1,163.10 and 660.90

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Solution

The fourth proportional to 776.19, 1,163.10 and 660.90 is: 990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.19 : 1,163.10 = 660.90 : x
  2. Step 2: Convert to fraction form
    776.19/1,163.10 = 660.90/x
  3. Step 3: Cross multiply
    776.19x = 1,163.10 × 660.90
  4. Step 4: Simplify right side
    776.19x = 768,692.79
  5. Step 5: Solve for x
    x = 768,692.79/776.19
  6. Step 6: Final answer
    x = 990.34

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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.