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Finding the Fourth Proportional to 1,464.56, 2,197.04 and 490.76

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Solution

The fourth proportional to 1,464.56, 2,197.04 and 490.76 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.56 : 2,197.04 = 490.76 : x
  2. Step 2: Convert to fraction form
    1,464.56/2,197.04 = 490.76/x
  3. Step 3: Cross multiply
    1,464.56x = 2,197.04 × 490.76
  4. Step 4: Simplify right side
    1,464.56x = 1,078,219.35
  5. Step 5: Solve for x
    x = 1,078,219.35/1,464.56
  6. Step 6: Final answer
    x = 736.21

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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.