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Finding the Fourth Proportional to 1,409.08, 1,944.69 and 849.84

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Solution

The fourth proportional to 1,409.08, 1,944.69 and 849.84 is: 1,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.08 : 1,944.69 = 849.84 : x
  2. Step 2: Convert to fraction form
    1,409.08/1,944.69 = 849.84/x
  3. Step 3: Cross multiply
    1,409.08x = 1,944.69 × 849.84
  4. Step 4: Simplify right side
    1,409.08x = 1,652,665.63
  5. Step 5: Solve for x
    x = 1,652,665.63/1,409.08
  6. Step 6: Final answer
    x = 1,172.87

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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.