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Finding the Fourth Proportional to 985.81, 1,478.74 and 401.09

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Solution

The fourth proportional to 985.81, 1,478.74 and 401.09 is: 601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.81 : 1,478.74 = 401.09 : x
  2. Step 2: Convert to fraction form
    985.81/1,478.74 = 401.09/x
  3. Step 3: Cross multiply
    985.81x = 1,478.74 × 401.09
  4. Step 4: Simplify right side
    985.81x = 593,107.83
  5. Step 5: Solve for x
    x = 593,107.83/985.81
  6. Step 6: Final answer
    x = 601.65

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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.