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Finding the Fourth Proportional to 1,111.41, 1,667.32 and 462.20

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Solution

The fourth proportional to 1,111.41, 1,667.32 and 462.20 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.41 : 1,667.32 = 462.20 : x
  2. Step 2: Convert to fraction form
    1,111.41/1,667.32 = 462.20/x
  3. Step 3: Cross multiply
    1,111.41x = 1,667.32 × 462.20
  4. Step 4: Simplify right side
    1,111.41x = 770,635.30
  5. Step 5: Solve for x
    x = 770,635.30/1,111.41
  6. Step 6: Final answer
    x = 693.39

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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.