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Finding the Fourth Proportional to 1,079.28, 1,618.95 and 309.78

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Solution

The fourth proportional to 1,079.28, 1,618.95 and 309.78 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.28 : 1,618.95 = 309.78 : x
  2. Step 2: Convert to fraction form
    1,079.28/1,618.95 = 309.78/x
  3. Step 3: Cross multiply
    1,079.28x = 1,618.95 × 309.78
  4. Step 4: Simplify right side
    1,079.28x = 501,518.33
  5. Step 5: Solve for x
    x = 501,518.33/1,079.28
  6. Step 6: Final answer
    x = 464.68

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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.