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Finding the Fourth Proportional to 1,512.24, 2,270 and 647.16

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Solution

The fourth proportional to 1,512.24, 2,270 and 647.16 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.24 : 2,270 = 647.16 : x
  2. Step 2: Convert to fraction form
    1,512.24/2,270 = 647.16/x
  3. Step 3: Cross multiply
    1,512.24x = 2,270 × 647.16
  4. Step 4: Simplify right side
    1,512.24x = 1,469,053.20
  5. Step 5: Solve for x
    x = 1,469,053.20/1,512.24
  6. Step 6: Final answer
    x = 971.44

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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.