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Finding the Fourth Proportional to 782.36, 1,174.10 and 295.44

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Solution

The fourth proportional to 782.36, 1,174.10 and 295.44 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,174.10 = 295.44 : x
  2. Step 2: Convert to fraction form
    782.36/1,174.10 = 295.44/x
  3. Step 3: Cross multiply
    782.36x = 1,174.10 × 295.44
  4. Step 4: Simplify right side
    782.36x = 346,876.10
  5. Step 5: Solve for x
    x = 346,876.10/782.36
  6. Step 6: Final answer
    x = 443.37

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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.