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Finding the Fourth Proportional to 782.94, 1,174.42 and 314.36

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Solution

The fourth proportional to 782.94, 1,174.42 and 314.36 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,174.42 = 314.36 : x
  2. Step 2: Convert to fraction form
    782.94/1,174.42 = 314.36/x
  3. Step 3: Cross multiply
    782.94x = 1,174.42 × 314.36
  4. Step 4: Simplify right side
    782.94x = 369,190.67
  5. Step 5: Solve for x
    x = 369,190.67/782.94
  6. Step 6: Final answer
    x = 471.54

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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.