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Finding the Fourth Proportional to 1,034.07, 1,426.89 and 591.94

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Solution

The fourth proportional to 1,034.07, 1,426.89 and 591.94 is: 816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.07 : 1,426.89 = 591.94 : x
  2. Step 2: Convert to fraction form
    1,034.07/1,426.89 = 591.94/x
  3. Step 3: Cross multiply
    1,034.07x = 1,426.89 × 591.94
  4. Step 4: Simplify right side
    1,034.07x = 844,633.27
  5. Step 5: Solve for x
    x = 844,633.27/1,034.07
  6. Step 6: Final answer
    x = 816.81

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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.