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Finding the Fourth Proportional to 839.16, 1,259.42 and 513.54

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Solution

The fourth proportional to 839.16, 1,259.42 and 513.54 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.16 : 1,259.42 = 513.54 : x
  2. Step 2: Convert to fraction form
    839.16/1,259.42 = 513.54/x
  3. Step 3: Cross multiply
    839.16x = 1,259.42 × 513.54
  4. Step 4: Simplify right side
    839.16x = 646,759.98
  5. Step 5: Solve for x
    x = 646,759.98/839.16
  6. Step 6: Final answer
    x = 770.72

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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.