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Finding the Fourth Proportional to 1,389.06, 1,916.94 and 799.44

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Solution

The fourth proportional to 1,389.06, 1,916.94 and 799.44 is: 1,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.06 : 1,916.94 = 799.44 : x
  2. Step 2: Convert to fraction form
    1,389.06/1,916.94 = 799.44/x
  3. Step 3: Cross multiply
    1,389.06x = 1,916.94 × 799.44
  4. Step 4: Simplify right side
    1,389.06x = 1,532,478.51
  5. Step 5: Solve for x
    x = 1,532,478.51/1,389.06
  6. Step 6: Final answer
    x = 1,103.25

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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.