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Finding the Fourth Proportional to 1,098.88, 1,648.31 and 441.05

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Solution

The fourth proportional to 1,098.88, 1,648.31 and 441.05 is: 661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.88 : 1,648.31 = 441.05 : x
  2. Step 2: Convert to fraction form
    1,098.88/1,648.31 = 441.05/x
  3. Step 3: Cross multiply
    1,098.88x = 1,648.31 × 441.05
  4. Step 4: Simplify right side
    1,098.88x = 726,977.78
  5. Step 5: Solve for x
    x = 726,977.78/1,098.88
  6. Step 6: Final answer
    x = 661.57

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Double scale
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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.