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Finding the Fourth Proportional to 839.96, 1,258.11 and 514.34

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Solution

The fourth proportional to 839.96, 1,258.11 and 514.34 is: 770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.96 : 1,258.11 = 514.34 : x
  2. Step 2: Convert to fraction form
    839.96/1,258.11 = 514.34/x
  3. Step 3: Cross multiply
    839.96x = 1,258.11 × 514.34
  4. Step 4: Simplify right side
    839.96x = 647,096.30
  5. Step 5: Solve for x
    x = 647,096.30/839.96
  6. Step 6: Final answer
    x = 770.39

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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.