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Finding the Fourth Proportional to 1,194.24, 1,649.52 and 846.48

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Solution

The fourth proportional to 1,194.24, 1,649.52 and 846.48 is: 1,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.24 : 1,649.52 = 846.48 : x
  2. Step 2: Convert to fraction form
    1,194.24/1,649.52 = 846.48/x
  3. Step 3: Cross multiply
    1,194.24x = 1,649.52 × 846.48
  4. Step 4: Simplify right side
    1,194.24x = 1,396,285.69
  5. Step 5: Solve for x
    x = 1,396,285.69/1,194.24
  6. Step 6: Final answer
    x = 1,169.18

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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.