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Finding the Fourth Proportional to 1,409.18, 1,944.69 and 850.24

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Solution

The fourth proportional to 1,409.18, 1,944.69 and 850.24 is: 1,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.18 : 1,944.69 = 850.24 : x
  2. Step 2: Convert to fraction form
    1,409.18/1,944.69 = 850.24/x
  3. Step 3: Cross multiply
    1,409.18x = 1,944.69 × 850.24
  4. Step 4: Simplify right side
    1,409.18x = 1,653,443.50
  5. Step 5: Solve for x
    x = 1,653,443.50/1,409.18
  6. Step 6: Final answer
    x = 1,173.34

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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.