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Finding the Fourth Proportional to 1,409.87, 1,945.61 and 820.44

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Solution

The fourth proportional to 1,409.87, 1,945.61 and 820.44 is: 1,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.87 : 1,945.61 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,409.87/1,945.61 = 820.44/x
  3. Step 3: Cross multiply
    1,409.87x = 1,945.61 × 820.44
  4. Step 4: Simplify right side
    1,409.87x = 1,596,252.17
  5. Step 5: Solve for x
    x = 1,596,252.17/1,409.87
  6. Step 6: Final answer
    x = 1,132.20

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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.