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Finding the Fourth Proportional to 1,464.67, 2,197.14 and 490.78

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Solution

The fourth proportional to 1,464.67, 2,197.14 and 490.78 is: 736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.67 : 2,197.14 = 490.78 : x
  2. Step 2: Convert to fraction form
    1,464.67/2,197.14 = 490.78/x
  3. Step 3: Cross multiply
    1,464.67x = 2,197.14 × 490.78
  4. Step 4: Simplify right side
    1,464.67x = 1,078,312.37
  5. Step 5: Solve for x
    x = 1,078,312.37/1,464.67
  6. Step 6: Final answer
    x = 736.22

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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.