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Finding the Fourth Proportional to 1,464.98, 2,197.62 and 491.18

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Solution

The fourth proportional to 1,464.98, 2,197.62 and 491.18 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.98 : 2,197.62 = 491.18 : x
  2. Step 2: Convert to fraction form
    1,464.98/2,197.62 = 491.18/x
  3. Step 3: Cross multiply
    1,464.98x = 2,197.62 × 491.18
  4. Step 4: Simplify right side
    1,464.98x = 1,079,426.99
  5. Step 5: Solve for x
    x = 1,079,426.99/1,464.98
  6. Step 6: Final answer
    x = 736.82

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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.