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Finding the Fourth Proportional to 1,464.89, 2,197.46 and 491.06

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Solution

The fourth proportional to 1,464.89, 2,197.46 and 491.06 is: 736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.89 : 2,197.46 = 491.06 : x
  2. Step 2: Convert to fraction form
    1,464.89/2,197.46 = 491.06/x
  3. Step 3: Cross multiply
    1,464.89x = 2,197.46 × 491.06
  4. Step 4: Simplify right side
    1,464.89x = 1,079,091.43
  5. Step 5: Solve for x
    x = 1,079,091.43/1,464.89
  6. Step 6: Final answer
    x = 736.64

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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.