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Finding the Fourth Proportional to 1,464.62, 2,197.26 and 490.50

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Solution

The fourth proportional to 1,464.62, 2,197.26 and 490.50 is: 735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.62 : 2,197.26 = 490.50 : x
  2. Step 2: Convert to fraction form
    1,464.62/2,197.26 = 490.50/x
  3. Step 3: Cross multiply
    1,464.62x = 2,197.26 × 490.50
  4. Step 4: Simplify right side
    1,464.62x = 1,077,756.03
  5. Step 5: Solve for x
    x = 1,077,756.03/1,464.62
  6. Step 6: Final answer
    x = 735.86

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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.