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Finding the Fourth Proportional to 1,512.33, 2,268.54 and 416.69

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Solution

The fourth proportional to 1,512.33, 2,268.54 and 416.69 is: 625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.33 : 2,268.54 = 416.69 : x
  2. Step 2: Convert to fraction form
    1,512.33/2,268.54 = 416.69/x
  3. Step 3: Cross multiply
    1,512.33x = 2,268.54 × 416.69
  4. Step 4: Simplify right side
    1,512.33x = 945,277.93
  5. Step 5: Solve for x
    x = 945,277.93/1,512.33
  6. Step 6: Final answer
    x = 625.05

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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.