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Finding the Fourth Proportional to 1,252.06, 1,727.89 and 780.23

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Solution

The fourth proportional to 1,252.06, 1,727.89 and 780.23 is: 1,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.06 : 1,727.89 = 780.23 : x
  2. Step 2: Convert to fraction form
    1,252.06/1,727.89 = 780.23/x
  3. Step 3: Cross multiply
    1,252.06x = 1,727.89 × 780.23
  4. Step 4: Simplify right side
    1,252.06x = 1,348,151.61
  5. Step 5: Solve for x
    x = 1,348,151.61/1,252.06
  6. Step 6: Final answer
    x = 1,076.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.