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Finding the Fourth Proportional to 1,464.47, 2,196.90 and 490.37

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Solution

The fourth proportional to 1,464.47, 2,196.90 and 490.37 is: 735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.47 : 2,196.90 = 490.37 : x
  2. Step 2: Convert to fraction form
    1,464.47/2,196.90 = 490.37/x
  3. Step 3: Cross multiply
    1,464.47x = 2,196.90 × 490.37
  4. Step 4: Simplify right side
    1,464.47x = 1,077,293.85
  5. Step 5: Solve for x
    x = 1,077,293.85/1,464.47
  6. Step 6: Final answer
    x = 735.62

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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.