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Finding the Fourth Proportional to 1,550.13, 2,325.19 and 454.46

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Solution

The fourth proportional to 1,550.13, 2,325.19 and 454.46 is: 681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.13 : 2,325.19 = 454.46 : x
  2. Step 2: Convert to fraction form
    1,550.13/2,325.19 = 454.46/x
  3. Step 3: Cross multiply
    1,550.13x = 2,325.19 × 454.46
  4. Step 4: Simplify right side
    1,550.13x = 1,056,705.85
  5. Step 5: Solve for x
    x = 1,056,705.85/1,550.13
  6. Step 6: Final answer
    x = 681.69

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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.