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Finding the Fourth Proportional to 776.07, 1,163.99 and 228.14

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Solution

The fourth proportional to 776.07, 1,163.99 and 228.14 is: 342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.07 : 1,163.99 = 228.14 : x
  2. Step 2: Convert to fraction form
    776.07/1,163.99 = 228.14/x
  3. Step 3: Cross multiply
    776.07x = 1,163.99 × 228.14
  4. Step 4: Simplify right side
    776.07x = 265,545.72
  5. Step 5: Solve for x
    x = 265,545.72/776.07
  6. Step 6: Final answer
    x = 342.17

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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.