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Finding the Fourth Proportional to 1,478.08, 2,217.24 and 490.89

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Solution

The fourth proportional to 1,478.08, 2,217.24 and 490.89 is: 736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,217.24 = 490.89 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,217.24 = 490.89/x
  3. Step 3: Cross multiply
    1,478.08x = 2,217.24 × 490.89
  4. Step 4: Simplify right side
    1,478.08x = 1,088,420.94
  5. Step 5: Solve for x
    x = 1,088,420.94/1,478.08
  6. Step 6: Final answer
    x = 736.37

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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.