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Finding the Fourth Proportional to 1,276.02, 1,910.79 and 1,069.47

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Solution

The fourth proportional to 1,276.02, 1,910.79 and 1,069.47 is: 1,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.02 : 1,910.79 = 1,069.47 : x
  2. Step 2: Convert to fraction form
    1,276.02/1,910.79 = 1,069.47/x
  3. Step 3: Cross multiply
    1,276.02x = 1,910.79 × 1,069.47
  4. Step 4: Simplify right side
    1,276.02x = 2,043,532.58
  5. Step 5: Solve for x
    x = 2,043,532.58/1,276.02
  6. Step 6: Final answer
    x = 1,601.49

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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.