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Finding the Fourth Proportional to 778.14, 1,069.38 and 756.27

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Solution

The fourth proportional to 778.14, 1,069.38 and 756.27 is: 1,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,069.38 = 756.27 : x
  2. Step 2: Convert to fraction form
    778.14/1,069.38 = 756.27/x
  3. Step 3: Cross multiply
    778.14x = 1,069.38 × 756.27
  4. Step 4: Simplify right side
    778.14x = 808,740.01
  5. Step 5: Solve for x
    x = 808,740.01/778.14
  6. Step 6: Final answer
    x = 1,039.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.