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Finding the Fourth Proportional to 1,034.12, 1,426.74 and 591.71

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Solution

The fourth proportional to 1,034.12, 1,426.74 and 591.71 is: 816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.12 : 1,426.74 = 591.71 : x
  2. Step 2: Convert to fraction form
    1,034.12/1,426.74 = 591.71/x
  3. Step 3: Cross multiply
    1,034.12x = 1,426.74 × 591.71
  4. Step 4: Simplify right side
    1,034.12x = 844,216.33
  5. Step 5: Solve for x
    x = 844,216.33/1,034.12
  6. Step 6: Final answer
    x = 816.36

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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.