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Finding the Fourth Proportional to 839.19, 1,259.55 and 400.71

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Solution

The fourth proportional to 839.19, 1,259.55 and 400.71 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.19 : 1,259.55 = 400.71 : x
  2. Step 2: Convert to fraction form
    839.19/1,259.55 = 400.71/x
  3. Step 3: Cross multiply
    839.19x = 1,259.55 × 400.71
  4. Step 4: Simplify right side
    839.19x = 504,714.28
  5. Step 5: Solve for x
    x = 504,714.28/839.19
  6. Step 6: Final answer
    x = 601.43

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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.