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Finding the Fourth Proportional to 1,438.33, 1,985.12 and 879.12

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Solution

The fourth proportional to 1,438.33, 1,985.12 and 879.12 is: 1,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.33 : 1,985.12 = 879.12 : x
  2. Step 2: Convert to fraction form
    1,438.33/1,985.12 = 879.12/x
  3. Step 3: Cross multiply
    1,438.33x = 1,985.12 × 879.12
  4. Step 4: Simplify right side
    1,438.33x = 1,745,158.69
  5. Step 5: Solve for x
    x = 1,745,158.69/1,438.33
  6. Step 6: Final answer
    x = 1,213.32

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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.