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Finding the Fourth Proportional to 1,393.42, 2,090.08 and 419.50

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Solution

The fourth proportional to 1,393.42, 2,090.08 and 419.50 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.42 : 2,090.08 = 419.50 : x
  2. Step 2: Convert to fraction form
    1,393.42/2,090.08 = 419.50/x
  3. Step 3: Cross multiply
    1,393.42x = 2,090.08 × 419.50
  4. Step 4: Simplify right side
    1,393.42x = 876,788.56
  5. Step 5: Solve for x
    x = 876,788.56/1,393.42
  6. Step 6: Final answer
    x = 629.23

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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.