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Finding the Fourth Proportional to 1,111.36, 1,667.43 and 495.01

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Solution

The fourth proportional to 1,111.36, 1,667.43 and 495.01 is: 742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.36 : 1,667.43 = 495.01 : x
  2. Step 2: Convert to fraction form
    1,111.36/1,667.43 = 495.01/x
  3. Step 3: Cross multiply
    1,111.36x = 1,667.43 × 495.01
  4. Step 4: Simplify right side
    1,111.36x = 825,394.52
  5. Step 5: Solve for x
    x = 825,394.52/1,111.36
  6. Step 6: Final answer
    x = 742.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.