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Finding the Fourth Proportional to 1,396.17, 2,092.46 and 573.46

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Solution

The fourth proportional to 1,396.17, 2,092.46 and 573.46 is: 859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.17 : 2,092.46 = 573.46 : x
  2. Step 2: Convert to fraction form
    1,396.17/2,092.46 = 573.46/x
  3. Step 3: Cross multiply
    1,396.17x = 2,092.46 × 573.46
  4. Step 4: Simplify right side
    1,396.17x = 1,199,942.11
  5. Step 5: Solve for x
    x = 1,199,942.11/1,396.17
  6. Step 6: Final answer
    x = 859.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.