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Finding the Fourth Proportional to 839.15, 1,259.34 and 377.00

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Solution

The fourth proportional to 839.15, 1,259.34 and 377.00 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.15 : 1,259.34 = 377.00 : x
  2. Step 2: Convert to fraction form
    839.15/1,259.34 = 377.00/x
  3. Step 3: Cross multiply
    839.15x = 1,259.34 × 377.00
  4. Step 4: Simplify right side
    839.15x = 474,772.85
  5. Step 5: Solve for x
    x = 474,772.85/839.15
  6. Step 6: Final answer
    x = 565.78

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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.