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Finding the Fourth Proportional to 1,384.55, 2,077.43 and 726.26

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Solution

The fourth proportional to 1,384.55, 2,077.43 and 726.26 is: 1,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.55 : 2,077.43 = 726.26 : x
  2. Step 2: Convert to fraction form
    1,384.55/2,077.43 = 726.26/x
  3. Step 3: Cross multiply
    1,384.55x = 2,077.43 × 726.26
  4. Step 4: Simplify right side
    1,384.55x = 1,508,755.87
  5. Step 5: Solve for x
    x = 1,508,755.87/1,384.55
  6. Step 6: Final answer
    x = 1,089.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.