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Finding the Fourth Proportional to 1,393.14, 2,089.65 and 419.22

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Solution

The fourth proportional to 1,393.14, 2,089.65 and 419.22 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.14 : 2,089.65 = 419.22 : x
  2. Step 2: Convert to fraction form
    1,393.14/2,089.65 = 419.22/x
  3. Step 3: Cross multiply
    1,393.14x = 2,089.65 × 419.22
  4. Step 4: Simplify right side
    1,393.14x = 876,023.07
  5. Step 5: Solve for x
    x = 876,023.07/1,393.14
  6. Step 6: Final answer
    x = 628.81

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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.