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Finding the Fourth Proportional to 782.74, 1,174.17 and 295.70

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Solution

The fourth proportional to 782.74, 1,174.17 and 295.70 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.74 : 1,174.17 = 295.70 : x
  2. Step 2: Convert to fraction form
    782.74/1,174.17 = 295.70/x
  3. Step 3: Cross multiply
    782.74x = 1,174.17 × 295.70
  4. Step 4: Simplify right side
    782.74x = 347,202.07
  5. Step 5: Solve for x
    x = 347,202.07/782.74
  6. Step 6: Final answer
    x = 443.57

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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.