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Finding the Fourth Proportional to 923.50, 1,382.97 and 716.34

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Solution

The fourth proportional to 923.50, 1,382.97 and 716.34 is: 1,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.50 : 1,382.97 = 716.34 : x
  2. Step 2: Convert to fraction form
    923.50/1,382.97 = 716.34/x
  3. Step 3: Cross multiply
    923.50x = 1,382.97 × 716.34
  4. Step 4: Simplify right side
    923.50x = 990,673.15
  5. Step 5: Solve for x
    x = 990,673.15/923.50
  6. Step 6: Final answer
    x = 1,072.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.