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Finding the Fourth Proportional to 1,443.14, 1,991.49 and 813.70

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Solution

The fourth proportional to 1,443.14, 1,991.49 and 813.70 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.14 : 1,991.49 = 813.70 : x
  2. Step 2: Convert to fraction form
    1,443.14/1,991.49 = 813.70/x
  3. Step 3: Cross multiply
    1,443.14x = 1,991.49 × 813.70
  4. Step 4: Simplify right side
    1,443.14x = 1,620,475.41
  5. Step 5: Solve for x
    x = 1,620,475.41/1,443.14
  6. Step 6: Final answer
    x = 1,122.88

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1.5x scale

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.