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Finding the Fourth Proportional to 1,078.89, 1,618.35 and 309.39

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Solution

The fourth proportional to 1,078.89, 1,618.35 and 309.39 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.89 : 1,618.35 = 309.39 : x
  2. Step 2: Convert to fraction form
    1,078.89/1,618.35 = 309.39/x
  3. Step 3: Cross multiply
    1,078.89x = 1,618.35 × 309.39
  4. Step 4: Simplify right side
    1,078.89x = 500,701.31
  5. Step 5: Solve for x
    x = 500,701.31/1,078.89
  6. Step 6: Final answer
    x = 464.09

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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.