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Finding the Fourth Proportional to 1,405.63, 1,939.61 and 808.14

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Solution

The fourth proportional to 1,405.63, 1,939.61 and 808.14 is: 1,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.63 : 1,939.61 = 808.14 : x
  2. Step 2: Convert to fraction form
    1,405.63/1,939.61 = 808.14/x
  3. Step 3: Cross multiply
    1,405.63x = 1,939.61 × 808.14
  4. Step 4: Simplify right side
    1,405.63x = 1,567,476.43
  5. Step 5: Solve for x
    x = 1,567,476.43/1,405.63
  6. Step 6: Final answer
    x = 1,115.14

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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.