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Finding the Fourth Proportional to 1,099.61, 1,648.32 and 441.27

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Solution

The fourth proportional to 1,099.61, 1,648.32 and 441.27 is: 661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.61 : 1,648.32 = 441.27 : x
  2. Step 2: Convert to fraction form
    1,099.61/1,648.32 = 441.27/x
  3. Step 3: Cross multiply
    1,099.61x = 1,648.32 × 441.27
  4. Step 4: Simplify right side
    1,099.61x = 727,354.17
  5. Step 5: Solve for x
    x = 727,354.17/1,099.61
  6. Step 6: Final answer
    x = 661.47

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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.