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Finding the Fourth Proportional to 1,112.38, 1,667.57 and 564.28

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Solution

The fourth proportional to 1,112.38, 1,667.57 and 564.28 is: 845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.38 : 1,667.57 = 564.28 : x
  2. Step 2: Convert to fraction form
    1,112.38/1,667.57 = 564.28/x
  3. Step 3: Cross multiply
    1,112.38x = 1,667.57 × 564.28
  4. Step 4: Simplify right side
    1,112.38x = 940,965.24
  5. Step 5: Solve for x
    x = 940,965.24/1,112.38
  6. Step 6: Final answer
    x = 845.91

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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.