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Finding the Fourth Proportional to 1,440.81, 2,161.22 and 400.79

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Solution

The fourth proportional to 1,440.81, 2,161.22 and 400.79 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.81 : 2,161.22 = 400.79 : x
  2. Step 2: Convert to fraction form
    1,440.81/2,161.22 = 400.79/x
  3. Step 3: Cross multiply
    1,440.81x = 2,161.22 × 400.79
  4. Step 4: Simplify right side
    1,440.81x = 866,182.55
  5. Step 5: Solve for x
    x = 866,182.55/1,440.81
  6. Step 6: Final answer
    x = 601.18

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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.