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Finding the Fourth Proportional to 1,042.06, 1,438 and 593.99

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Solution

The fourth proportional to 1,042.06, 1,438 and 593.99 is: 819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.06 : 1,438 = 593.99 : x
  2. Step 2: Convert to fraction form
    1,042.06/1,438 = 593.99/x
  3. Step 3: Cross multiply
    1,042.06x = 1,438 × 593.99
  4. Step 4: Simplify right side
    1,042.06x = 854,157.62
  5. Step 5: Solve for x
    x = 854,157.62/1,042.06
  6. Step 6: Final answer
    x = 819.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.