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Finding the Fourth Proportional to 1,226.62, 1,692.44 and 778.32

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Solution

The fourth proportional to 1,226.62, 1,692.44 and 778.32 is: 1,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.62 : 1,692.44 = 778.32 : x
  2. Step 2: Convert to fraction form
    1,226.62/1,692.44 = 778.32/x
  3. Step 3: Cross multiply
    1,226.62x = 1,692.44 × 778.32
  4. Step 4: Simplify right side
    1,226.62x = 1,317,262.36
  5. Step 5: Solve for x
    x = 1,317,262.36/1,226.62
  6. Step 6: Final answer
    x = 1,073.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.