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Finding the Fourth Proportional to 1,478.38, 2,217.92 and 504.50

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Solution

The fourth proportional to 1,478.38, 2,217.92 and 504.50 is: 756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.38 : 2,217.92 = 504.50 : x
  2. Step 2: Convert to fraction form
    1,478.38/2,217.92 = 504.50/x
  3. Step 3: Cross multiply
    1,478.38x = 2,217.92 × 504.50
  4. Step 4: Simplify right side
    1,478.38x = 1,118,940.64
  5. Step 5: Solve for x
    x = 1,118,940.64/1,478.38
  6. Step 6: Final answer
    x = 756.87

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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.