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Finding the Fourth Proportional to 1,388.53, 1,916.83 and 798.95

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Solution

The fourth proportional to 1,388.53, 1,916.83 and 798.95 is: 1,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.53 : 1,916.83 = 798.95 : x
  2. Step 2: Convert to fraction form
    1,388.53/1,916.83 = 798.95/x
  3. Step 3: Cross multiply
    1,388.53x = 1,916.83 × 798.95
  4. Step 4: Simplify right side
    1,388.53x = 1,531,451.33
  5. Step 5: Solve for x
    x = 1,531,451.33/1,388.53
  6. Step 6: Final answer
    x = 1,102.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.