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Finding the Fourth Proportional to 1,365.34, 2,048.02 and 441.69

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Solution

The fourth proportional to 1,365.34, 2,048.02 and 441.69 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.34 : 2,048.02 = 441.69 : x
  2. Step 2: Convert to fraction form
    1,365.34/2,048.02 = 441.69/x
  3. Step 3: Cross multiply
    1,365.34x = 2,048.02 × 441.69
  4. Step 4: Simplify right side
    1,365.34x = 904,589.95
  5. Step 5: Solve for x
    x = 904,589.95/1,365.34
  6. Step 6: Final answer
    x = 662.54

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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.