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Finding the Fourth Proportional to 1,039.44, 1,434.36 and 573.66

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Solution

The fourth proportional to 1,039.44, 1,434.36 and 573.66 is: 791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.44 : 1,434.36 = 573.66 : x
  2. Step 2: Convert to fraction form
    1,039.44/1,434.36 = 573.66/x
  3. Step 3: Cross multiply
    1,039.44x = 1,434.36 × 573.66
  4. Step 4: Simplify right side
    1,039.44x = 822,834.96
  5. Step 5: Solve for x
    x = 822,834.96/1,039.44
  6. Step 6: Final answer
    x = 791.61

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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.