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Finding the Fourth Proportional to 1,440.38, 1,985.91 and 942.23

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Solution

The fourth proportional to 1,440.38, 1,985.91 and 942.23 is: 1,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.38 : 1,985.91 = 942.23 : x
  2. Step 2: Convert to fraction form
    1,440.38/1,985.91 = 942.23/x
  3. Step 3: Cross multiply
    1,440.38x = 1,985.91 × 942.23
  4. Step 4: Simplify right side
    1,440.38x = 1,871,179.27
  5. Step 5: Solve for x
    x = 1,871,179.27/1,440.38
  6. Step 6: Final answer
    x = 1,299.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.