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Finding the Fourth Proportional to 1,411.38, 1,947.66 and 821.94

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Solution

The fourth proportional to 1,411.38, 1,947.66 and 821.94 is: 1,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.38 : 1,947.66 = 821.94 : x
  2. Step 2: Convert to fraction form
    1,411.38/1,947.66 = 821.94/x
  3. Step 3: Cross multiply
    1,411.38x = 1,947.66 × 821.94
  4. Step 4: Simplify right side
    1,411.38x = 1,600,859.66
  5. Step 5: Solve for x
    x = 1,600,859.66/1,411.38
  6. Step 6: Final answer
    x = 1,134.25

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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.