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Finding the Fourth Proportional to 1,098.09, 1,647.09 and 481.46

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Solution

The fourth proportional to 1,098.09, 1,647.09 and 481.46 is: 722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.09 : 1,647.09 = 481.46 : x
  2. Step 2: Convert to fraction form
    1,098.09/1,647.09 = 481.46/x
  3. Step 3: Cross multiply
    1,098.09x = 1,647.09 × 481.46
  4. Step 4: Simplify right side
    1,098.09x = 792,999.72
  5. Step 5: Solve for x
    x = 792,999.72/1,098.09
  6. Step 6: Final answer
    x = 722.16

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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.