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Finding the Fourth Proportional to 1,435.91, 1,981.56 and 806.46

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Solution

The fourth proportional to 1,435.91, 1,981.56 and 806.46 is: 1,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.91 : 1,981.56 = 806.46 : x
  2. Step 2: Convert to fraction form
    1,435.91/1,981.56 = 806.46/x
  3. Step 3: Cross multiply
    1,435.91x = 1,981.56 × 806.46
  4. Step 4: Simplify right side
    1,435.91x = 1,598,037.67
  5. Step 5: Solve for x
    x = 1,598,037.67/1,435.91
  6. Step 6: Final answer
    x = 1,112.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.