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Finding the Fourth Proportional to 825.44, 1,138.56 and 514.40

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Solution

The fourth proportional to 825.44, 1,138.56 and 514.40 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,138.56 = 514.40 : x
  2. Step 2: Convert to fraction form
    825.44/1,138.56 = 514.40/x
  3. Step 3: Cross multiply
    825.44x = 1,138.56 × 514.40
  4. Step 4: Simplify right side
    825.44x = 585,675.26
  5. Step 5: Solve for x
    x = 585,675.26/825.44
  6. Step 6: Final answer
    x = 709.53

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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.