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Finding the Fourth Proportional to 1,213.47, 1,820.09 and 726.17

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Solution

The fourth proportional to 1,213.47, 1,820.09 and 726.17 is: 1,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.47 : 1,820.09 = 726.17 : x
  2. Step 2: Convert to fraction form
    1,213.47/1,820.09 = 726.17/x
  3. Step 3: Cross multiply
    1,213.47x = 1,820.09 × 726.17
  4. Step 4: Simplify right side
    1,213.47x = 1,321,682.02
  5. Step 5: Solve for x
    x = 1,321,682.02/1,213.47
  6. Step 6: Final answer
    x = 1,089.18

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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.