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Finding the Fourth Proportional to 1,344.17, 2,015.79 and 522.22

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Solution

The fourth proportional to 1,344.17, 2,015.79 and 522.22 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.17 : 2,015.79 = 522.22 : x
  2. Step 2: Convert to fraction form
    1,344.17/2,015.79 = 522.22/x
  3. Step 3: Cross multiply
    1,344.17x = 2,015.79 × 522.22
  4. Step 4: Simplify right side
    1,344.17x = 1,052,685.85
  5. Step 5: Solve for x
    x = 1,052,685.85/1,344.17
  6. Step 6: Final answer
    x = 783.15

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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.