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Finding the Fourth Proportional to 829.42, 1,244.74 and 677.14

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Solution

The fourth proportional to 829.42, 1,244.74 and 677.14 is: 1,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,244.74 = 677.14 : x
  2. Step 2: Convert to fraction form
    829.42/1,244.74 = 677.14/x
  3. Step 3: Cross multiply
    829.42x = 1,244.74 × 677.14
  4. Step 4: Simplify right side
    829.42x = 842,863.24
  5. Step 5: Solve for x
    x = 842,863.24/829.42
  6. Step 6: Final answer
    x = 1,016.21

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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.