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Finding the Fourth Proportional to 1,478.20, 2,217.22 and 504.30

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Solution

The fourth proportional to 1,478.20, 2,217.22 and 504.30 is: 756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.20 : 2,217.22 = 504.30 : x
  2. Step 2: Convert to fraction form
    1,478.20/2,217.22 = 504.30/x
  3. Step 3: Cross multiply
    1,478.20x = 2,217.22 × 504.30
  4. Step 4: Simplify right side
    1,478.20x = 1,118,144.05
  5. Step 5: Solve for x
    x = 1,118,144.05/1,478.20
  6. Step 6: Final answer
    x = 756.42

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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.