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Finding the Fourth Proportional to 839.23, 1,258.02 and 406.69

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Solution

The fourth proportional to 839.23, 1,258.02 and 406.69 is: 609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.23 : 1,258.02 = 406.69 : x
  2. Step 2: Convert to fraction form
    839.23/1,258.02 = 406.69/x
  3. Step 3: Cross multiply
    839.23x = 1,258.02 × 406.69
  4. Step 4: Simplify right side
    839.23x = 511,624.15
  5. Step 5: Solve for x
    x = 511,624.15/839.23
  6. Step 6: Final answer
    x = 609.64

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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.