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Finding the Fourth Proportional to 1,512.57, 2,268.71 and 417.05

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Solution

The fourth proportional to 1,512.57, 2,268.71 and 417.05 is: 625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.57 : 2,268.71 = 417.05 : x
  2. Step 2: Convert to fraction form
    1,512.57/2,268.71 = 417.05/x
  3. Step 3: Cross multiply
    1,512.57x = 2,268.71 × 417.05
  4. Step 4: Simplify right side
    1,512.57x = 946,162.15
  5. Step 5: Solve for x
    x = 946,162.15/1,512.57
  6. Step 6: Final answer
    x = 625.53

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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.