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Finding the Fourth Proportional to 1,448.07, 2,168.04 and 753.22

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Solution

The fourth proportional to 1,448.07, 2,168.04 and 753.22 is: 1,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.07 : 2,168.04 = 753.22 : x
  2. Step 2: Convert to fraction form
    1,448.07/2,168.04 = 753.22/x
  3. Step 3: Cross multiply
    1,448.07x = 2,168.04 × 753.22
  4. Step 4: Simplify right side
    1,448.07x = 1,633,011.09
  5. Step 5: Solve for x
    x = 1,633,011.09/1,448.07
  6. Step 6: Final answer
    x = 1,127.72

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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.