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Finding the Fourth Proportional to 1,389.32, 2,083.62 and 415.16

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Solution

The fourth proportional to 1,389.32, 2,083.62 and 415.16 is: 622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.32 : 2,083.62 = 415.16 : x
  2. Step 2: Convert to fraction form
    1,389.32/2,083.62 = 415.16/x
  3. Step 3: Cross multiply
    1,389.32x = 2,083.62 × 415.16
  4. Step 4: Simplify right side
    1,389.32x = 865,035.68
  5. Step 5: Solve for x
    x = 865,035.68/1,389.32
  6. Step 6: Final answer
    x = 622.63

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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.