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Finding the Fourth Proportional to 1,474.22, 2,209.49 and 744.01

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Solution

The fourth proportional to 1,474.22, 2,209.49 and 744.01 is: 1,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.22 : 2,209.49 = 744.01 : x
  2. Step 2: Convert to fraction form
    1,474.22/2,209.49 = 744.01/x
  3. Step 3: Cross multiply
    1,474.22x = 2,209.49 × 744.01
  4. Step 4: Simplify right side
    1,474.22x = 1,643,867.89
  5. Step 5: Solve for x
    x = 1,643,867.89/1,474.22
  6. Step 6: Final answer
    x = 1,115.08

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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.