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Finding the Fourth Proportional to 1,465.27, 2,197.45 and 491.14

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Solution

The fourth proportional to 1,465.27, 2,197.45 and 491.14 is: 736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.27 : 2,197.45 = 491.14 : x
  2. Step 2: Convert to fraction form
    1,465.27/2,197.45 = 491.14/x
  3. Step 3: Cross multiply
    1,465.27x = 2,197.45 × 491.14
  4. Step 4: Simplify right side
    1,465.27x = 1,079,253.14
  5. Step 5: Solve for x
    x = 1,079,253.14/1,465.27
  6. Step 6: Final answer
    x = 736.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.