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Finding the Fourth Proportional to 1,012.14, 1,396.76 and 570.02

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Solution

The fourth proportional to 1,012.14, 1,396.76 and 570.02 is: 786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.14 : 1,396.76 = 570.02 : x
  2. Step 2: Convert to fraction form
    1,012.14/1,396.76 = 570.02/x
  3. Step 3: Cross multiply
    1,012.14x = 1,396.76 × 570.02
  4. Step 4: Simplify right side
    1,012.14x = 796,179.75
  5. Step 5: Solve for x
    x = 796,179.75/1,012.14
  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.