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Finding the Fourth Proportional to 1,452.87, 2,179.25 and 412.87

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Solution

The fourth proportional to 1,452.87, 2,179.25 and 412.87 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.87 : 2,179.25 = 412.87 : x
  2. Step 2: Convert to fraction form
    1,452.87/2,179.25 = 412.87/x
  3. Step 3: Cross multiply
    1,452.87x = 2,179.25 × 412.87
  4. Step 4: Simplify right side
    1,452.87x = 899,733.99
  5. Step 5: Solve for x
    x = 899,733.99/1,452.87
  6. Step 6: Final answer
    x = 619.28

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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.