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Finding the Fourth Proportional to 1,551.26, 2,325.15 and 563.66

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Solution

The fourth proportional to 1,551.26, 2,325.15 and 563.66 is: 844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.26 : 2,325.15 = 563.66 : x
  2. Step 2: Convert to fraction form
    1,551.26/2,325.15 = 563.66/x
  3. Step 3: Cross multiply
    1,551.26x = 2,325.15 × 563.66
  4. Step 4: Simplify right side
    1,551.26x = 1,310,594.05
  5. Step 5: Solve for x
    x = 1,310,594.05/1,551.26
  6. Step 6: Final answer
    x = 844.86

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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.