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Finding the Fourth Proportional to 1,112.06, 1,667.51 and 556.17

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Solution

The fourth proportional to 1,112.06, 1,667.51 and 556.17 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.06 : 1,667.51 = 556.17 : x
  2. Step 2: Convert to fraction form
    1,112.06/1,667.51 = 556.17/x
  3. Step 3: Cross multiply
    1,112.06x = 1,667.51 × 556.17
  4. Step 4: Simplify right side
    1,112.06x = 927,419.04
  5. Step 5: Solve for x
    x = 927,419.04/1,112.06
  6. Step 6: Final answer
    x = 833.96

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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.