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Finding the Fourth Proportional to 1,393.45, 2,090.16 and 419.56

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Solution

The fourth proportional to 1,393.45, 2,090.16 and 419.56 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.45 : 2,090.16 = 419.56 : x
  2. Step 2: Convert to fraction form
    1,393.45/2,090.16 = 419.56/x
  3. Step 3: Cross multiply
    1,393.45x = 2,090.16 × 419.56
  4. Step 4: Simplify right side
    1,393.45x = 876,947.53
  5. Step 5: Solve for x
    x = 876,947.53/1,393.45
  6. Step 6: Final answer
    x = 629.34

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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.