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Finding the Fourth Proportional to 1,190.22, 1,784.97 and 420.66

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Solution

The fourth proportional to 1,190.22, 1,784.97 and 420.66 is: 630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.22 : 1,784.97 = 420.66 : x
  2. Step 2: Convert to fraction form
    1,190.22/1,784.97 = 420.66/x
  3. Step 3: Cross multiply
    1,190.22x = 1,784.97 × 420.66
  4. Step 4: Simplify right side
    1,190.22x = 750,865.48
  5. Step 5: Solve for x
    x = 750,865.48/1,190.22
  6. Step 6: Final answer
    x = 630.86

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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.