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Finding the Fourth Proportional to 1,478.32, 2,217.17 and 504.09

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Solution

The fourth proportional to 1,478.32, 2,217.17 and 504.09 is: 756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.32 : 2,217.17 = 504.09 : x
  2. Step 2: Convert to fraction form
    1,478.32/2,217.17 = 504.09/x
  3. Step 3: Cross multiply
    1,478.32x = 2,217.17 × 504.09
  4. Step 4: Simplify right side
    1,478.32x = 1,117,654.49
  5. Step 5: Solve for x
    x = 1,117,654.49/1,478.32
  6. Step 6: Final answer
    x = 756.03

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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.