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Finding the Fourth Proportional to 1,172.24, 1,756.99 and 1,049.22

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Solution

The fourth proportional to 1,172.24, 1,756.99 and 1,049.22 is: 1,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.24 : 1,756.99 = 1,049.22 : x
  2. Step 2: Convert to fraction form
    1,172.24/1,756.99 = 1,049.22/x
  3. Step 3: Cross multiply
    1,172.24x = 1,756.99 × 1,049.22
  4. Step 4: Simplify right side
    1,172.24x = 1,843,470.36
  5. Step 5: Solve for x
    x = 1,843,470.36/1,172.24
  6. Step 6: Final answer
    x = 1,572.61

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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.