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Finding the Fourth Proportional to 1,435.70, 1,981.31 and 806.24

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Solution

The fourth proportional to 1,435.70, 1,981.31 and 806.24 is: 1,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.70 : 1,981.31 = 806.24 : x
  2. Step 2: Convert to fraction form
    1,435.70/1,981.31 = 806.24/x
  3. Step 3: Cross multiply
    1,435.70x = 1,981.31 × 806.24
  4. Step 4: Simplify right side
    1,435.70x = 1,597,397.44
  5. Step 5: Solve for x
    x = 1,597,397.44/1,435.70
  6. Step 6: Final answer
    x = 1,112.63

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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.