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Finding the Fourth Proportional to 1,512.57, 2,268.21 and 472.32

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Solution

The fourth proportional to 1,512.57, 2,268.21 and 472.32 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.57 : 2,268.21 = 472.32 : x
  2. Step 2: Convert to fraction form
    1,512.57/2,268.21 = 472.32/x
  3. Step 3: Cross multiply
    1,512.57x = 2,268.21 × 472.32
  4. Step 4: Simplify right side
    1,512.57x = 1,071,320.95
  5. Step 5: Solve for x
    x = 1,071,320.95/1,512.57
  6. Step 6: Final answer
    x = 708.28

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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.