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Finding the Fourth Proportional to 1,012.11, 1,396.46 and 675.35

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Solution

The fourth proportional to 1,012.11, 1,396.46 and 675.35 is: 931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.11 : 1,396.46 = 675.35 : x
  2. Step 2: Convert to fraction form
    1,012.11/1,396.46 = 675.35/x
  3. Step 3: Cross multiply
    1,012.11x = 1,396.46 × 675.35
  4. Step 4: Simplify right side
    1,012.11x = 943,097.46
  5. Step 5: Solve for x
    x = 943,097.46/1,012.11
  6. Step 6: Final answer
    x = 931.81

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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.