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Finding the Fourth Proportional to 1,305.36, 1,799.24 and 911.76

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Solution

The fourth proportional to 1,305.36, 1,799.24 and 911.76 is: 1,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.36 : 1,799.24 = 911.76 : x
  2. Step 2: Convert to fraction form
    1,305.36/1,799.24 = 911.76/x
  3. Step 3: Cross multiply
    1,305.36x = 1,799.24 × 911.76
  4. Step 4: Simplify right side
    1,305.36x = 1,640,475.06
  5. Step 5: Solve for x
    x = 1,640,475.06/1,305.36
  6. Step 6: Final answer
    x = 1,256.72

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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.