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Finding the Fourth Proportional to 1,112.13, 1,667.18 and 678.38

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Solution

The fourth proportional to 1,112.13, 1,667.18 and 678.38 is: 1,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.13 : 1,667.18 = 678.38 : x
  2. Step 2: Convert to fraction form
    1,112.13/1,667.18 = 678.38/x
  3. Step 3: Cross multiply
    1,112.13x = 1,667.18 × 678.38
  4. Step 4: Simplify right side
    1,112.13x = 1,130,974.93
  5. Step 5: Solve for x
    x = 1,130,974.93/1,112.13
  6. Step 6: Final answer
    x = 1,016.94

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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.