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Finding the Fourth Proportional to 1,109.46, 1,663.46 and 441.54

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Solution

The fourth proportional to 1,109.46, 1,663.46 and 441.54 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.46 : 1,663.46 = 441.54 : x
  2. Step 2: Convert to fraction form
    1,109.46/1,663.46 = 441.54/x
  3. Step 3: Cross multiply
    1,109.46x = 1,663.46 × 441.54
  4. Step 4: Simplify right side
    1,109.46x = 734,484.13
  5. Step 5: Solve for x
    x = 734,484.13/1,109.46
  6. Step 6: Final answer
    x = 662.02

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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.