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Finding the Fourth Proportional to 825.12, 1,138.26 and 589.10

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Solution

The fourth proportional to 825.12, 1,138.26 and 589.10 is: 812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,138.26 = 589.10 : x
  2. Step 2: Convert to fraction form
    825.12/1,138.26 = 589.10/x
  3. Step 3: Cross multiply
    825.12x = 1,138.26 × 589.10
  4. Step 4: Simplify right side
    825.12x = 670,548.97
  5. Step 5: Solve for x
    x = 670,548.97/825.12
  6. Step 6: Final answer
    x = 812.67

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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.