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Finding the Fourth Proportional to 1,405.60, 1,939.82 and 808.29

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Solution

The fourth proportional to 1,405.60, 1,939.82 and 808.29 is: 1,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.60 : 1,939.82 = 808.29 : x
  2. Step 2: Convert to fraction form
    1,405.60/1,939.82 = 808.29/x
  3. Step 3: Cross multiply
    1,405.60x = 1,939.82 × 808.29
  4. Step 4: Simplify right side
    1,405.60x = 1,567,927.61
  5. Step 5: Solve for x
    x = 1,567,927.61/1,405.60
  6. Step 6: Final answer
    x = 1,115.48

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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.