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Finding the Fourth Proportional to 1,239.56, 1,859.01 and 418.22

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Solution

The fourth proportional to 1,239.56, 1,859.01 and 418.22 is: 627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.56 : 1,859.01 = 418.22 : x
  2. Step 2: Convert to fraction form
    1,239.56/1,859.01 = 418.22/x
  3. Step 3: Cross multiply
    1,239.56x = 1,859.01 × 418.22
  4. Step 4: Simplify right side
    1,239.56x = 777,465.87
  5. Step 5: Solve for x
    x = 777,465.87/1,239.56
  6. Step 6: Final answer
    x = 627.21

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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.