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Finding the Fourth Proportional to 1,313.89, 1,814.10 and 843

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Solution

The fourth proportional to 1,313.89, 1,814.10 and 843 is: 1,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.89 : 1,814.10 = 843 : x
  2. Step 2: Convert to fraction form
    1,313.89/1,814.10 = 843/x
  3. Step 3: Cross multiply
    1,313.89x = 1,814.10 × 843
  4. Step 4: Simplify right side
    1,313.89x = 1,529,283.14
  5. Step 5: Solve for x
    x = 1,529,283.14/1,313.89
  6. Step 6: Final answer
    x = 1,163.93

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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.