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Finding the Fourth Proportional to 1,214.70, 1,676.49 and 919.45

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Solution

The fourth proportional to 1,214.70, 1,676.49 and 919.45 is: 1,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.70 : 1,676.49 = 919.45 : x
  2. Step 2: Convert to fraction form
    1,214.70/1,676.49 = 919.45/x
  3. Step 3: Cross multiply
    1,214.70x = 1,676.49 × 919.45
  4. Step 4: Simplify right side
    1,214.70x = 1,541,448.73
  5. Step 5: Solve for x
    x = 1,541,448.73/1,214.70
  6. Step 6: Final answer
    x = 1,269.00

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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.