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Finding the Fourth Proportional to 1,394.19, 2,091.60 and 420.30

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Solution

The fourth proportional to 1,394.19, 2,091.60 and 420.30 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.19 : 2,091.60 = 420.30 : x
  2. Step 2: Convert to fraction form
    1,394.19/2,091.60 = 420.30/x
  3. Step 3: Cross multiply
    1,394.19x = 2,091.60 × 420.30
  4. Step 4: Simplify right side
    1,394.19x = 879,099.48
  5. Step 5: Solve for x
    x = 879,099.48/1,394.19
  6. Step 6: Final answer
    x = 630.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.