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Finding the Fourth Proportional to 1,409.70, 1,945.50 and 820.19

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Solution

The fourth proportional to 1,409.70, 1,945.50 and 820.19 is: 1,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 1,945.50 = 820.19 : x
  2. Step 2: Convert to fraction form
    1,409.70/1,945.50 = 820.19/x
  3. Step 3: Cross multiply
    1,409.70x = 1,945.50 × 820.19
  4. Step 4: Simplify right side
    1,409.70x = 1,595,679.65
  5. Step 5: Solve for x
    x = 1,595,679.65/1,409.70
  6. Step 6: Final answer
    x = 1,131.93

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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.