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Finding the Fourth Proportional to 1,078.20, 1,617.30 and 429.39

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Solution

The fourth proportional to 1,078.20, 1,617.30 and 429.39 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.20 : 1,617.30 = 429.39 : x
  2. Step 2: Convert to fraction form
    1,078.20/1,617.30 = 429.39/x
  3. Step 3: Cross multiply
    1,078.20x = 1,617.30 × 429.39
  4. Step 4: Simplify right side
    1,078.20x = 694,452.45
  5. Step 5: Solve for x
    x = 694,452.45/1,078.20
  6. Step 6: Final answer
    x = 644.09

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