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Finding the Fourth Proportional to 1,435.69, 1,981.10 and 806.18

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Solution

The fourth proportional to 1,435.69, 1,981.10 and 806.18 is: 1,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.69 : 1,981.10 = 806.18 : x
  2. Step 2: Convert to fraction form
    1,435.69/1,981.10 = 806.18/x
  3. Step 3: Cross multiply
    1,435.69x = 1,981.10 × 806.18
  4. Step 4: Simplify right side
    1,435.69x = 1,597,130.17
  5. Step 5: Solve for x
    x = 1,597,130.17/1,435.69
  6. Step 6: Final answer
    x = 1,112.45

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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.