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Finding the Fourth Proportional to 1,065.97, 1,471.49 and 716.86

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Solution

The fourth proportional to 1,065.97, 1,471.49 and 716.86 is: 989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.97 : 1,471.49 = 716.86 : x
  2. Step 2: Convert to fraction form
    1,065.97/1,471.49 = 716.86/x
  3. Step 3: Cross multiply
    1,065.97x = 1,471.49 × 716.86
  4. Step 4: Simplify right side
    1,065.97x = 1,054,850.43
  5. Step 5: Solve for x
    x = 1,054,850.43/1,065.97
  6. Step 6: Final answer
    x = 989.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.