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Finding the Fourth Proportional to 1,012.08, 1,396.18 and 879.14

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Solution

The fourth proportional to 1,012.08, 1,396.18 and 879.14 is: 1,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.08 : 1,396.18 = 879.14 : x
  2. Step 2: Convert to fraction form
    1,012.08/1,396.18 = 879.14/x
  3. Step 3: Cross multiply
    1,012.08x = 1,396.18 × 879.14
  4. Step 4: Simplify right side
    1,012.08x = 1,227,437.69
  5. Step 5: Solve for x
    x = 1,227,437.69/1,012.08
  6. Step 6: Final answer
    x = 1,212.79

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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.