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Finding the Fourth Proportional to 1,189.29, 1,783.95 and 419.61

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Solution

The fourth proportional to 1,189.29, 1,783.95 and 419.61 is: 629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.29 : 1,783.95 = 419.61 : x
  2. Step 2: Convert to fraction form
    1,189.29/1,783.95 = 419.61/x
  3. Step 3: Cross multiply
    1,189.29x = 1,783.95 × 419.61
  4. Step 4: Simplify right side
    1,189.29x = 748,563.26
  5. Step 5: Solve for x
    x = 748,563.26/1,189.29
  6. Step 6: Final answer
    x = 629.42

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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.