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Finding the Fourth Proportional to 986.55, 1,479.42 and 401.40

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Solution

The fourth proportional to 986.55, 1,479.42 and 401.40 is: 601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.55 : 1,479.42 = 401.40 : x
  2. Step 2: Convert to fraction form
    986.55/1,479.42 = 401.40/x
  3. Step 3: Cross multiply
    986.55x = 1,479.42 × 401.40
  4. Step 4: Simplify right side
    986.55x = 593,839.19
  5. Step 5: Solve for x
    x = 593,839.19/986.55
  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.