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Finding the Fourth Proportional to 1,348.76, 2,022.44 and 654.98

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Solution

The fourth proportional to 1,348.76, 2,022.44 and 654.98 is: 982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.76 : 2,022.44 = 654.98 : x
  2. Step 2: Convert to fraction form
    1,348.76/2,022.44 = 654.98/x
  3. Step 3: Cross multiply
    1,348.76x = 2,022.44 × 654.98
  4. Step 4: Simplify right side
    1,348.76x = 1,324,657.75
  5. Step 5: Solve for x
    x = 1,324,657.75/1,348.76
  6. Step 6: Final answer
    x = 982.13

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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.