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Finding the Fourth Proportional to 1,435.46, 1,981.02 and 806.06

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Solution

The fourth proportional to 1,435.46, 1,981.02 and 806.06 is: 1,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.46 : 1,981.02 = 806.06 : x
  2. Step 2: Convert to fraction form
    1,435.46/1,981.02 = 806.06/x
  3. Step 3: Cross multiply
    1,435.46x = 1,981.02 × 806.06
  4. Step 4: Simplify right side
    1,435.46x = 1,596,820.98
  5. Step 5: Solve for x
    x = 1,596,820.98/1,435.46
  6. Step 6: Final answer
    x = 1,112.41

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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.