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Finding the Fourth Proportional to 825.04, 1,138.28 and 514.52

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Solution

The fourth proportional to 825.04, 1,138.28 and 514.52 is: 709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.04 : 1,138.28 = 514.52 : x
  2. Step 2: Convert to fraction form
    825.04/1,138.28 = 514.52/x
  3. Step 3: Cross multiply
    825.04x = 1,138.28 × 514.52
  4. Step 4: Simplify right side
    825.04x = 585,667.83
  5. Step 5: Solve for x
    x = 585,667.83/825.04
  6. Step 6: Final answer
    x = 709.87

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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.