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Finding the Fourth Proportional to 1,221.94, 1,685.91 and 829.36

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Solution

The fourth proportional to 1,221.94, 1,685.91 and 829.36 is: 1,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.94 : 1,685.91 = 829.36 : x
  2. Step 2: Convert to fraction form
    1,221.94/1,685.91 = 829.36/x
  3. Step 3: Cross multiply
    1,221.94x = 1,685.91 × 829.36
  4. Step 4: Simplify right side
    1,221.94x = 1,398,226.32
  5. Step 5: Solve for x
    x = 1,398,226.32/1,221.94
  6. Step 6: Final answer
    x = 1,144.27

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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.