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Finding the Fourth Proportional to 1,407.77, 1,942.25 and 911.04

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Solution

The fourth proportional to 1,407.77, 1,942.25 and 911.04 is: 1,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.77 : 1,942.25 = 911.04 : x
  2. Step 2: Convert to fraction form
    1,407.77/1,942.25 = 911.04/x
  3. Step 3: Cross multiply
    1,407.77x = 1,942.25 × 911.04
  4. Step 4: Simplify right side
    1,407.77x = 1,769,469.72
  5. Step 5: Solve for x
    x = 1,769,469.72/1,407.77
  6. Step 6: Final answer
    x = 1,256.93

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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.