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Finding the Fourth Proportional to 824.75, 1,138.16 and 514.25

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Solution

The fourth proportional to 824.75, 1,138.16 and 514.25 is: 709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.75 : 1,138.16 = 514.25 : x
  2. Step 2: Convert to fraction form
    824.75/1,138.16 = 514.25/x
  3. Step 3: Cross multiply
    824.75x = 1,138.16 × 514.25
  4. Step 4: Simplify right side
    824.75x = 585,296.21
  5. Step 5: Solve for x
    x = 585,296.21/824.75
  6. Step 6: Final answer
    x = 709.67

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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.