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Finding the Fourth Proportional to 1,512.59, 2,268.89 and 416.97

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Solution

The fourth proportional to 1,512.59, 2,268.89 and 416.97 is: 625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.59 : 2,268.89 = 416.97 : x
  2. Step 2: Convert to fraction form
    1,512.59/2,268.89 = 416.97/x
  3. Step 3: Cross multiply
    1,512.59x = 2,268.89 × 416.97
  4. Step 4: Simplify right side
    1,512.59x = 946,059.06
  5. Step 5: Solve for x
    x = 946,059.06/1,512.59
  6. Step 6: Final answer
    x = 625.46

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Why These Related Problems?

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