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Finding the Fourth Proportional to 1,187.64, 1,638.90 and 838.80

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Solution

The fourth proportional to 1,187.64, 1,638.90 and 838.80 is: 1,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.64 : 1,638.90 = 838.80 : x
  2. Step 2: Convert to fraction form
    1,187.64/1,638.90 = 838.80/x
  3. Step 3: Cross multiply
    1,187.64x = 1,638.90 × 838.80
  4. Step 4: Simplify right side
    1,187.64x = 1,374,709.32
  5. Step 5: Solve for x
    x = 1,374,709.32/1,187.64
  6. Step 6: Final answer
    x = 1,157.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.