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Finding the Fourth Proportional to 1,012.14, 1,396.71 and 592.44

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Solution

The fourth proportional to 1,012.14, 1,396.71 and 592.44 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.14 : 1,396.71 = 592.44 : x
  2. Step 2: Convert to fraction form
    1,012.14/1,396.71 = 592.44/x
  3. Step 3: Cross multiply
    1,012.14x = 1,396.71 × 592.44
  4. Step 4: Simplify right side
    1,012.14x = 827,466.87
  5. Step 5: Solve for x
    x = 827,466.87/1,012.14
  6. Step 6: Final answer
    x = 817.54

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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.