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Finding the Fourth Proportional to 1,303.35, 1,798.42 and 806.15

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Solution

The fourth proportional to 1,303.35, 1,798.42 and 806.15 is: 1,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.35 : 1,798.42 = 806.15 : x
  2. Step 2: Convert to fraction form
    1,303.35/1,798.42 = 806.15/x
  3. Step 3: Cross multiply
    1,303.35x = 1,798.42 × 806.15
  4. Step 4: Simplify right side
    1,303.35x = 1,449,796.28
  5. Step 5: Solve for x
    x = 1,449,796.28/1,303.35
  6. Step 6: Final answer
    x = 1,112.36

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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.