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Finding the Fourth Proportional to 839.74, 1,259.64 and 401.04

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Solution

The fourth proportional to 839.74, 1,259.64 and 401.04 is: 601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.74 : 1,259.64 = 401.04 : x
  2. Step 2: Convert to fraction form
    839.74/1,259.64 = 401.04/x
  3. Step 3: Cross multiply
    839.74x = 1,259.64 × 401.04
  4. Step 4: Simplify right side
    839.74x = 505,160.87
  5. Step 5: Solve for x
    x = 505,160.87/839.74
  6. Step 6: Final answer
    x = 601.57

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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.