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Finding the Fourth Proportional to 1,550.30, 2,325.08 and 613.18

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Solution

The fourth proportional to 1,550.30, 2,325.08 and 613.18 is: 919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.30 : 2,325.08 = 613.18 : x
  2. Step 2: Convert to fraction form
    1,550.30/2,325.08 = 613.18/x
  3. Step 3: Cross multiply
    1,550.30x = 2,325.08 × 613.18
  4. Step 4: Simplify right side
    1,550.30x = 1,425,692.55
  5. Step 5: Solve for x
    x = 1,425,692.55/1,550.30
  6. Step 6: Final answer
    x = 919.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.