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Finding the Fourth Proportional to 1,464.87, 2,197.32 and 491.07

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Solution

The fourth proportional to 1,464.87, 2,197.32 and 491.07 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.87 : 2,197.32 = 491.07 : x
  2. Step 2: Convert to fraction form
    1,464.87/2,197.32 = 491.07/x
  3. Step 3: Cross multiply
    1,464.87x = 2,197.32 × 491.07
  4. Step 4: Simplify right side
    1,464.87x = 1,079,037.93
  5. Step 5: Solve for x
    x = 1,079,037.93/1,464.87
  6. Step 6: Final answer
    x = 736.61

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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.