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Finding the Fourth Proportional to 782.98, 1,174.46 and 532.28

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Solution

The fourth proportional to 782.98, 1,174.46 and 532.28 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,174.46 = 532.28 : x
  2. Step 2: Convert to fraction form
    782.98/1,174.46 = 532.28/x
  3. Step 3: Cross multiply
    782.98x = 1,174.46 × 532.28
  4. Step 4: Simplify right side
    782.98x = 625,141.57
  5. Step 5: Solve for x
    x = 625,141.57/782.98
  6. Step 6: Final answer
    x = 798.41

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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.