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Finding the Fourth Proportional to 774.83, 1,163.12 and 409.52

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Solution

The fourth proportional to 774.83, 1,163.12 and 409.52 is: 614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.83 : 1,163.12 = 409.52 : x
  2. Step 2: Convert to fraction form
    774.83/1,163.12 = 409.52/x
  3. Step 3: Cross multiply
    774.83x = 1,163.12 × 409.52
  4. Step 4: Simplify right side
    774.83x = 476,313.04
  5. Step 5: Solve for x
    x = 476,313.04/774.83
  6. Step 6: Final answer
    x = 614.74

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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.