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Finding the Fourth Proportional to 778.33, 1,164.05 and 692.27

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Solution

The fourth proportional to 778.33, 1,164.05 and 692.27 is: 1,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.33 : 1,164.05 = 692.27 : x
  2. Step 2: Convert to fraction form
    778.33/1,164.05 = 692.27/x
  3. Step 3: Cross multiply
    778.33x = 1,164.05 × 692.27
  4. Step 4: Simplify right side
    778.33x = 805,838.47
  5. Step 5: Solve for x
    x = 805,838.47/778.33
  6. Step 6: Final answer
    x = 1,035.34

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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.