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Finding the Fourth Proportional to 1,388.62, 1,916.49 and 799.14

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Solution

The fourth proportional to 1,388.62, 1,916.49 and 799.14 is: 1,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.62 : 1,916.49 = 799.14 : x
  2. Step 2: Convert to fraction form
    1,388.62/1,916.49 = 799.14/x
  3. Step 3: Cross multiply
    1,388.62x = 1,916.49 × 799.14
  4. Step 4: Simplify right side
    1,388.62x = 1,531,543.82
  5. Step 5: Solve for x
    x = 1,531,543.82/1,388.62
  6. Step 6: Final answer
    x = 1,102.93

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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.