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Finding the Fourth Proportional to 782.25, 1,169.91 and 696.18

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Solution

The fourth proportional to 782.25, 1,169.91 and 696.18 is: 1,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,169.91 = 696.18 : x
  2. Step 2: Convert to fraction form
    782.25/1,169.91 = 696.18/x
  3. Step 3: Cross multiply
    782.25x = 1,169.91 × 696.18
  4. Step 4: Simplify right side
    782.25x = 814,467.94
  5. Step 5: Solve for x
    x = 814,467.94/782.25
  6. Step 6: Final answer
    x = 1,041.19

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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.