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Finding the Fourth Proportional to 1,012.11, 1,396.79 and 570.09

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Solution

The fourth proportional to 1,012.11, 1,396.79 and 570.09 is: 786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.11 : 1,396.79 = 570.09 : x
  2. Step 2: Convert to fraction form
    1,012.11/1,396.79 = 570.09/x
  3. Step 3: Cross multiply
    1,012.11x = 1,396.79 × 570.09
  4. Step 4: Simplify right side
    1,012.11x = 796,293.16
  5. Step 5: Solve for x
    x = 796,293.16/1,012.11
  6. Step 6: Final answer
    x = 786.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.