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Finding the Fourth Proportional to 839.85, 1,259.37 and 377.34

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Solution

The fourth proportional to 839.85, 1,259.37 and 377.34 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.85 : 1,259.37 = 377.34 : x
  2. Step 2: Convert to fraction form
    839.85/1,259.37 = 377.34/x
  3. Step 3: Cross multiply
    839.85x = 1,259.37 × 377.34
  4. Step 4: Simplify right side
    839.85x = 475,210.68
  5. Step 5: Solve for x
    x = 475,210.68/839.85
  6. Step 6: Final answer
    x = 565.83

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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.