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Finding the Fourth Proportional to 1,195.53, 1,650.24 and 1,029.09

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Solution

The fourth proportional to 1,195.53, 1,650.24 and 1,029.09 is: 1,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.53 : 1,650.24 = 1,029.09 : x
  2. Step 2: Convert to fraction form
    1,195.53/1,650.24 = 1,029.09/x
  3. Step 3: Cross multiply
    1,195.53x = 1,650.24 × 1,029.09
  4. Step 4: Simplify right side
    1,195.53x = 1,698,245.48
  5. Step 5: Solve for x
    x = 1,698,245.48/1,195.53
  6. Step 6: Final answer
    x = 1,420.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.