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Finding the Fourth Proportional to 1,479.22, 2,219.08 and 505.08

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Solution

The fourth proportional to 1,479.22, 2,219.08 and 505.08 is: 757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.22 : 2,219.08 = 505.08 : x
  2. Step 2: Convert to fraction form
    1,479.22/2,219.08 = 505.08/x
  3. Step 3: Cross multiply
    1,479.22x = 2,219.08 × 505.08
  4. Step 4: Simplify right side
    1,479.22x = 1,120,812.93
  5. Step 5: Solve for x
    x = 1,120,812.93/1,479.22
  6. Step 6: Final answer
    x = 757.71

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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.