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Finding the Fourth Proportional to 1,414.36, 1,952.03 and 808.69

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Solution

The fourth proportional to 1,414.36, 1,952.03 and 808.69 is: 1,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.36 : 1,952.03 = 808.69 : x
  2. Step 2: Convert to fraction form
    1,414.36/1,952.03 = 808.69/x
  3. Step 3: Cross multiply
    1,414.36x = 1,952.03 × 808.69
  4. Step 4: Simplify right side
    1,414.36x = 1,578,573.34
  5. Step 5: Solve for x
    x = 1,578,573.34/1,414.36
  6. Step 6: Final answer
    x = 1,116.11

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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.