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Finding the Fourth Proportional to 1,078.22, 1,617.74 and 429.41

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Solution

The fourth proportional to 1,078.22, 1,617.74 and 429.41 is: 644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.22 : 1,617.74 = 429.41 : x
  2. Step 2: Convert to fraction form
    1,078.22/1,617.74 = 429.41/x
  3. Step 3: Cross multiply
    1,078.22x = 1,617.74 × 429.41
  4. Step 4: Simplify right side
    1,078.22x = 694,673.73
  5. Step 5: Solve for x
    x = 694,673.73/1,078.22
  6. Step 6: Final answer
    x = 644.28

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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.