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Finding the Fourth Proportional to 1,057, 1,583.42 and 997.06

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Solution

The fourth proportional to 1,057, 1,583.42 and 997.06 is: 1,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057 : 1,583.42 = 997.06 : x
  2. Step 2: Convert to fraction form
    1,057/1,583.42 = 997.06/x
  3. Step 3: Cross multiply
    1,057x = 1,583.42 × 997.06
  4. Step 4: Simplify right side
    1,057x = 1,578,764.75
  5. Step 5: Solve for x
    x = 1,578,764.75/1,057
  6. Step 6: Final answer
    x = 1,493.63

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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.