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Finding the Fourth Proportional to 1,518.04, 2,276.12 and 640.09

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Solution

The fourth proportional to 1,518.04, 2,276.12 and 640.09 is: 959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.04 : 2,276.12 = 640.09 : x
  2. Step 2: Convert to fraction form
    1,518.04/2,276.12 = 640.09/x
  3. Step 3: Cross multiply
    1,518.04x = 2,276.12 × 640.09
  4. Step 4: Simplify right side
    1,518.04x = 1,456,912.76
  5. Step 5: Solve for x
    x = 1,456,912.76/1,518.04
  6. Step 6: Final answer
    x = 959.73

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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.