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Finding the Fourth Proportional to 1,389.64, 2,083.95 and 415.41

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Solution

The fourth proportional to 1,389.64, 2,083.95 and 415.41 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.64 : 2,083.95 = 415.41 : x
  2. Step 2: Convert to fraction form
    1,389.64/2,083.95 = 415.41/x
  3. Step 3: Cross multiply
    1,389.64x = 2,083.95 × 415.41
  4. Step 4: Simplify right side
    1,389.64x = 865,693.67
  5. Step 5: Solve for x
    x = 865,693.67/1,389.64
  6. Step 6: Final answer
    x = 622.96

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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.