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Finding the Fourth Proportional to 839.23, 1,259.19 and 376.70

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Solution

The fourth proportional to 839.23, 1,259.19 and 376.70 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.23 : 1,259.19 = 376.70 : x
  2. Step 2: Convert to fraction form
    839.23/1,259.19 = 376.70/x
  3. Step 3: Cross multiply
    839.23x = 1,259.19 × 376.70
  4. Step 4: Simplify right side
    839.23x = 474,328.69
  5. Step 5: Solve for x
    x = 474,328.69/839.23
  6. Step 6: Final answer
    x = 565.20

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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.