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Finding the Fourth Proportional to 1,272.21, 1,908.90 and 784.95

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Solution

The fourth proportional to 1,272.21, 1,908.90 and 784.95 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.21 : 1,908.90 = 784.95 : x
  2. Step 2: Convert to fraction form
    1,272.21/1,908.90 = 784.95/x
  3. Step 3: Cross multiply
    1,272.21x = 1,908.90 × 784.95
  4. Step 4: Simplify right side
    1,272.21x = 1,498,391.06
  5. Step 5: Solve for x
    x = 1,498,391.06/1,272.21
  6. Step 6: Final answer
    x = 1,177.79

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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.