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Finding the Fourth Proportional to 849.86, 1,162.71 and 846.22

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Solution

The fourth proportional to 849.86, 1,162.71 and 846.22 is: 1,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.86 : 1,162.71 = 846.22 : x
  2. Step 2: Convert to fraction form
    849.86/1,162.71 = 846.22/x
  3. Step 3: Cross multiply
    849.86x = 1,162.71 × 846.22
  4. Step 4: Simplify right side
    849.86x = 983,908.46
  5. Step 5: Solve for x
    x = 983,908.46/849.86
  6. Step 6: Final answer
    x = 1,157.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.