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Finding the Fourth Proportional to 1,226.12, 1,692.44 and 785.21

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Solution

The fourth proportional to 1,226.12, 1,692.44 and 785.21 is: 1,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.12 : 1,692.44 = 785.21 : x
  2. Step 2: Convert to fraction form
    1,226.12/1,692.44 = 785.21/x
  3. Step 3: Cross multiply
    1,226.12x = 1,692.44 × 785.21
  4. Step 4: Simplify right side
    1,226.12x = 1,328,920.81
  5. Step 5: Solve for x
    x = 1,328,920.81/1,226.12
  6. Step 6: Final answer
    x = 1,083.84

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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.