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Finding the Fourth Proportional to 776.00, 1,163.69 and 342.85

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Solution

The fourth proportional to 776.00, 1,163.69 and 342.85 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.00 : 1,163.69 = 342.85 : x
  2. Step 2: Convert to fraction form
    776.00/1,163.69 = 342.85/x
  3. Step 3: Cross multiply
    776.00x = 1,163.69 × 342.85
  4. Step 4: Simplify right side
    776.00x = 398,966.49
  5. Step 5: Solve for x
    x = 398,966.49/776.00
  6. Step 6: Final answer
    x = 514.14

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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.