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Finding the Fourth Proportional to 1,409.57, 1,945.08 and 820.14

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Solution

The fourth proportional to 1,409.57, 1,945.08 and 820.14 is: 1,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.57 : 1,945.08 = 820.14 : x
  2. Step 2: Convert to fraction form
    1,409.57/1,945.08 = 820.14/x
  3. Step 3: Cross multiply
    1,409.57x = 1,945.08 × 820.14
  4. Step 4: Simplify right side
    1,409.57x = 1,595,237.91
  5. Step 5: Solve for x
    x = 1,595,237.91/1,409.57
  6. Step 6: Final answer
    x = 1,131.72

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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.