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Finding the Fourth Proportional to 849.37, 1,168.75 and 823.99

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Solution

The fourth proportional to 849.37, 1,168.75 and 823.99 is: 1,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.37 : 1,168.75 = 823.99 : x
  2. Step 2: Convert to fraction form
    849.37/1,168.75 = 823.99/x
  3. Step 3: Cross multiply
    849.37x = 1,168.75 × 823.99
  4. Step 4: Simplify right side
    849.37x = 963,038.31
  5. Step 5: Solve for x
    x = 963,038.31/849.37
  6. Step 6: Final answer
    x = 1,133.83

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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.