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Finding the Fourth Proportional to 1,096.69, 1,638.60 and 1,058.41

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Solution

The fourth proportional to 1,096.69, 1,638.60 and 1,058.41 is: 1,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.69 : 1,638.60 = 1,058.41 : x
  2. Step 2: Convert to fraction form
    1,096.69/1,638.60 = 1,058.41/x
  3. Step 3: Cross multiply
    1,096.69x = 1,638.60 × 1,058.41
  4. Step 4: Simplify right side
    1,096.69x = 1,734,310.63
  5. Step 5: Solve for x
    x = 1,734,310.63/1,096.69
  6. Step 6: Final answer
    x = 1,581.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.