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Finding the Fourth Proportional to 1,464.78, 2,197.37 and 491.16

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Solution

The fourth proportional to 1,464.78, 2,197.37 and 491.16 is: 736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.78 : 2,197.37 = 491.16 : x
  2. Step 2: Convert to fraction form
    1,464.78/2,197.37 = 491.16/x
  3. Step 3: Cross multiply
    1,464.78x = 2,197.37 × 491.16
  4. Step 4: Simplify right side
    1,464.78x = 1,079,260.25
  5. Step 5: Solve for x
    x = 1,079,260.25/1,464.78
  6. Step 6: Final answer
    x = 736.81

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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.