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Finding the Fourth Proportional to 1,512.22, 2,268.16 and 524.85

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Solution

The fourth proportional to 1,512.22, 2,268.16 and 524.85 is: 787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.22 : 2,268.16 = 524.85 : x
  2. Step 2: Convert to fraction form
    1,512.22/2,268.16 = 524.85/x
  3. Step 3: Cross multiply
    1,512.22x = 2,268.16 × 524.85
  4. Step 4: Simplify right side
    1,512.22x = 1,190,452.94
  5. Step 5: Solve for x
    x = 1,190,452.94/1,512.22
  6. Step 6: Final answer
    x = 787.22

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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.