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Finding the Fourth Proportional to 1,098.36, 1,648.82 and 867.41

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Solution

The fourth proportional to 1,098.36, 1,648.82 and 867.41 is: 1,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.36 : 1,648.82 = 867.41 : x
  2. Step 2: Convert to fraction form
    1,098.36/1,648.82 = 867.41/x
  3. Step 3: Cross multiply
    1,098.36x = 1,648.82 × 867.41
  4. Step 4: Simplify right side
    1,098.36x = 1,430,190.38
  5. Step 5: Solve for x
    x = 1,430,190.38/1,098.36
  6. Step 6: Final answer
    x = 1,302.11

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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.