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Finding the Fourth Proportional to 776.17, 1,163.75 and 411.13

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Solution

The fourth proportional to 776.17, 1,163.75 and 411.13 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.17 : 1,163.75 = 411.13 : x
  2. Step 2: Convert to fraction form
    776.17/1,163.75 = 411.13/x
  3. Step 3: Cross multiply
    776.17x = 1,163.75 × 411.13
  4. Step 4: Simplify right side
    776.17x = 478,444.66
  5. Step 5: Solve for x
    x = 478,444.66/776.17
  6. Step 6: Final answer
    x = 616.42

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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.