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Finding the Fourth Proportional to 1,078.99, 1,618.28 and 288.36

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Solution

The fourth proportional to 1,078.99, 1,618.28 and 288.36 is: 432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.99 : 1,618.28 = 288.36 : x
  2. Step 2: Convert to fraction form
    1,078.99/1,618.28 = 288.36/x
  3. Step 3: Cross multiply
    1,078.99x = 1,618.28 × 288.36
  4. Step 4: Simplify right side
    1,078.99x = 466,643.90
  5. Step 5: Solve for x
    x = 466,643.90/1,078.99
  6. Step 6: Final answer
    x = 432.48

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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.