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Finding the Fourth Proportional to 1,432.94, 1,977.87 and 843.82

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Solution

The fourth proportional to 1,432.94, 1,977.87 and 843.82 is: 1,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.94 : 1,977.87 = 843.82 : x
  2. Step 2: Convert to fraction form
    1,432.94/1,977.87 = 843.82/x
  3. Step 3: Cross multiply
    1,432.94x = 1,977.87 × 843.82
  4. Step 4: Simplify right side
    1,432.94x = 1,668,959.74
  5. Step 5: Solve for x
    x = 1,668,959.74/1,432.94
  6. Step 6: Final answer
    x = 1,164.71

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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.