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Finding the Fourth Proportional to 1,093.90, 1,638.08 and 727.60

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Solution

The fourth proportional to 1,093.90, 1,638.08 and 727.60 is: 1,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.90 : 1,638.08 = 727.60 : x
  2. Step 2: Convert to fraction form
    1,093.90/1,638.08 = 727.60/x
  3. Step 3: Cross multiply
    1,093.90x = 1,638.08 × 727.60
  4. Step 4: Simplify right side
    1,093.90x = 1,191,867.01
  5. Step 5: Solve for x
    x = 1,191,867.01/1,093.90
  6. Step 6: Final answer
    x = 1,089.56

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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.