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Finding the Fourth Proportional to 1,078.36, 1,618.24 and 591.75

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Solution

The fourth proportional to 1,078.36, 1,618.24 and 591.75 is: 888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.36 : 1,618.24 = 591.75 : x
  2. Step 2: Convert to fraction form
    1,078.36/1,618.24 = 591.75/x
  3. Step 3: Cross multiply
    1,078.36x = 1,618.24 × 591.75
  4. Step 4: Simplify right side
    1,078.36x = 957,593.52
  5. Step 5: Solve for x
    x = 957,593.52/1,078.36
  6. Step 6: Final answer
    x = 888.01

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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.