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Finding the Fourth Proportional to 1,012.14, 1,396.76 and 570.15

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Solution

The fourth proportional to 1,012.14, 1,396.76 and 570.15 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.14 : 1,396.76 = 570.15 : x
  2. Step 2: Convert to fraction form
    1,012.14/1,396.76 = 570.15/x
  3. Step 3: Cross multiply
    1,012.14x = 1,396.76 × 570.15
  4. Step 4: Simplify right side
    1,012.14x = 796,359.86
  5. Step 5: Solve for x
    x = 796,359.86/1,012.14
  6. Step 6: Final answer
    x = 786.81

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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.