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Finding the Fourth Proportional to 1,228.08, 1,694.18 and 829.24

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Solution

The fourth proportional to 1,228.08, 1,694.18 and 829.24 is: 1,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.08 : 1,694.18 = 829.24 : x
  2. Step 2: Convert to fraction form
    1,228.08/1,694.18 = 829.24/x
  3. Step 3: Cross multiply
    1,228.08x = 1,694.18 × 829.24
  4. Step 4: Simplify right side
    1,228.08x = 1,404,881.41
  5. Step 5: Solve for x
    x = 1,404,881.41/1,228.08
  6. Step 6: Final answer
    x = 1,143.97

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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.