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Finding the Fourth Proportional to 834.24, 1,150.43 and 716.63

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Solution

The fourth proportional to 834.24, 1,150.43 and 716.63 is: 988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,150.43 = 716.63 : x
  2. Step 2: Convert to fraction form
    834.24/1,150.43 = 716.63/x
  3. Step 3: Cross multiply
    834.24x = 1,150.43 × 716.63
  4. Step 4: Simplify right side
    834.24x = 824,423.32
  5. Step 5: Solve for x
    x = 824,423.32/834.24
  6. Step 6: Final answer
    x = 988.23

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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.