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Finding the Fourth Proportional to 774.44, 1,162.12 and 409.34

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Solution

The fourth proportional to 774.44, 1,162.12 and 409.34 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.44 : 1,162.12 = 409.34 : x
  2. Step 2: Convert to fraction form
    774.44/1,162.12 = 409.34/x
  3. Step 3: Cross multiply
    774.44x = 1,162.12 × 409.34
  4. Step 4: Simplify right side
    774.44x = 475,702.20
  5. Step 5: Solve for x
    x = 475,702.20/774.44
  6. Step 6: Final answer
    x = 614.25

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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.