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Finding the Fourth Proportional to 1,388.38, 2,083.41 and 523.30

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Solution

The fourth proportional to 1,388.38, 2,083.41 and 523.30 is: 785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.38 : 2,083.41 = 523.30 : x
  2. Step 2: Convert to fraction form
    1,388.38/2,083.41 = 523.30/x
  3. Step 3: Cross multiply
    1,388.38x = 2,083.41 × 523.30
  4. Step 4: Simplify right side
    1,388.38x = 1,090,248.45
  5. Step 5: Solve for x
    x = 1,090,248.45/1,388.38
  6. Step 6: Final answer
    x = 785.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.