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Finding the Fourth Proportional to 1,012.26, 1,396.81 and 570.07

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Solution

The fourth proportional to 1,012.26, 1,396.81 and 570.07 is: 786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.26 : 1,396.81 = 570.07 : x
  2. Step 2: Convert to fraction form
    1,012.26/1,396.81 = 570.07/x
  3. Step 3: Cross multiply
    1,012.26x = 1,396.81 × 570.07
  4. Step 4: Simplify right side
    1,012.26x = 796,281.94
  5. Step 5: Solve for x
    x = 796,281.94/1,012.26
  6. Step 6: Final answer
    x = 786.63

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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.