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Finding the Fourth Proportional to 839.41, 1,259.55 and 401.15

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Solution

The fourth proportional to 839.41, 1,259.55 and 401.15 is: 601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.41 : 1,259.55 = 401.15 : x
  2. Step 2: Convert to fraction form
    839.41/1,259.55 = 401.15/x
  3. Step 3: Cross multiply
    839.41x = 1,259.55 × 401.15
  4. Step 4: Simplify right side
    839.41x = 505,271.63
  5. Step 5: Solve for x
    x = 505,271.63/839.41
  6. Step 6: Final answer
    x = 601.94

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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.