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Finding the Fourth Proportional to 774.24, 1,163.52 and 409.47

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Solution

The fourth proportional to 774.24, 1,163.52 and 409.47 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.24 : 1,163.52 = 409.47 : x
  2. Step 2: Convert to fraction form
    774.24/1,163.52 = 409.47/x
  3. Step 3: Cross multiply
    774.24x = 1,163.52 × 409.47
  4. Step 4: Simplify right side
    774.24x = 476,426.53
  5. Step 5: Solve for x
    x = 476,426.53/774.24
  6. Step 6: Final answer
    x = 615.35

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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.