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Finding the Fourth Proportional to 1,111.89, 1,533.83 and 1,032.73

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Solution

The fourth proportional to 1,111.89, 1,533.83 and 1,032.73 is: 1,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.89 : 1,533.83 = 1,032.73 : x
  2. Step 2: Convert to fraction form
    1,111.89/1,533.83 = 1,032.73/x
  3. Step 3: Cross multiply
    1,111.89x = 1,533.83 × 1,032.73
  4. Step 4: Simplify right side
    1,111.89x = 1,584,032.26
  5. Step 5: Solve for x
    x = 1,584,032.26/1,111.89
  6. Step 6: Final answer
    x = 1,424.63

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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.