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Finding the Fourth Proportional to 855.84, 1,276.44 and 726.68

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Solution

The fourth proportional to 855.84, 1,276.44 and 726.68 is: 1,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.84 : 1,276.44 = 726.68 : x
  2. Step 2: Convert to fraction form
    855.84/1,276.44 = 726.68/x
  3. Step 3: Cross multiply
    855.84x = 1,276.44 × 726.68
  4. Step 4: Simplify right side
    855.84x = 927,563.42
  5. Step 5: Solve for x
    x = 927,563.42/855.84
  6. Step 6: Final answer
    x = 1,083.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.