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Finding the Fourth Proportional to 837.94, 1,155.99 and 589.27

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Solution

The fourth proportional to 837.94, 1,155.99 and 589.27 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.94 : 1,155.99 = 589.27 : x
  2. Step 2: Convert to fraction form
    837.94/1,155.99 = 589.27/x
  3. Step 3: Cross multiply
    837.94x = 1,155.99 × 589.27
  4. Step 4: Simplify right side
    837.94x = 681,190.23
  5. Step 5: Solve for x
    x = 681,190.23/837.94
  6. Step 6: Final answer
    x = 812.93

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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.