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Finding the Fourth Proportional to 1,411.44, 1,947.55 and 821.85

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Solution

The fourth proportional to 1,411.44, 1,947.55 and 821.85 is: 1,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.44 : 1,947.55 = 821.85 : x
  2. Step 2: Convert to fraction form
    1,411.44/1,947.55 = 821.85/x
  3. Step 3: Cross multiply
    1,411.44x = 1,947.55 × 821.85
  4. Step 4: Simplify right side
    1,411.44x = 1,600,593.97
  5. Step 5: Solve for x
    x = 1,600,593.97/1,411.44
  6. Step 6: Final answer
    x = 1,134.01

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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.