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Finding the Fourth Proportional to 1,318.28, 1,818.86 and 945.88

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Solution

The fourth proportional to 1,318.28, 1,818.86 and 945.88 is: 1,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.28 : 1,818.86 = 945.88 : x
  2. Step 2: Convert to fraction form
    1,318.28/1,818.86 = 945.88/x
  3. Step 3: Cross multiply
    1,318.28x = 1,818.86 × 945.88
  4. Step 4: Simplify right side
    1,318.28x = 1,720,414.02
  5. Step 5: Solve for x
    x = 1,720,414.02/1,318.28
  6. Step 6: Final answer
    x = 1,305.05

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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.