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Finding the Fourth Proportional to 839.46, 1,259.28 and 406.74

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Solution

The fourth proportional to 839.46, 1,259.28 and 406.74 is: 610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.46 : 1,259.28 = 406.74 : x
  2. Step 2: Convert to fraction form
    839.46/1,259.28 = 406.74/x
  3. Step 3: Cross multiply
    839.46x = 1,259.28 × 406.74
  4. Step 4: Simplify right side
    839.46x = 512,199.55
  5. Step 5: Solve for x
    x = 512,199.55/839.46
  6. Step 6: Final answer
    x = 610.15

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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.