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Finding the Fourth Proportional to 1,463.75, 2,195.62 and 477.38

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Solution

The fourth proportional to 1,463.75, 2,195.62 and 477.38 is: 716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.75 : 2,195.62 = 477.38 : x
  2. Step 2: Convert to fraction form
    1,463.75/2,195.62 = 477.38/x
  3. Step 3: Cross multiply
    1,463.75x = 2,195.62 × 477.38
  4. Step 4: Simplify right side
    1,463.75x = 1,048,145.08
  5. Step 5: Solve for x
    x = 1,048,145.08/1,463.75
  6. Step 6: Final answer
    x = 716.07

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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.