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Finding the Fourth Proportional to 1,563.12, 2,344.52 and 408.87

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Solution

The fourth proportional to 1,563.12, 2,344.52 and 408.87 is: 613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.12 : 2,344.52 = 408.87 : x
  2. Step 2: Convert to fraction form
    1,563.12/2,344.52 = 408.87/x
  3. Step 3: Cross multiply
    1,563.12x = 2,344.52 × 408.87
  4. Step 4: Simplify right side
    1,563.12x = 958,603.89
  5. Step 5: Solve for x
    x = 958,603.89/1,563.12
  6. Step 6: Final answer
    x = 613.26

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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.