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Finding the Fourth Proportional to 1,111.63, 1,529.52 and 911.73

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Solution

The fourth proportional to 1,111.63, 1,529.52 and 911.73 is: 1,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.63 : 1,529.52 = 911.73 : x
  2. Step 2: Convert to fraction form
    1,111.63/1,529.52 = 911.73/x
  3. Step 3: Cross multiply
    1,111.63x = 1,529.52 × 911.73
  4. Step 4: Simplify right side
    1,111.63x = 1,394,509.27
  5. Step 5: Solve for x
    x = 1,394,509.27/1,111.63
  6. Step 6: Final answer
    x = 1,254.47

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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.