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Finding the Fourth Proportional to 1,288.28, 1,928.82 and 670.64

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Solution

The fourth proportional to 1,288.28, 1,928.82 and 670.64 is: 1,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.28 : 1,928.82 = 670.64 : x
  2. Step 2: Convert to fraction form
    1,288.28/1,928.82 = 670.64/x
  3. Step 3: Cross multiply
    1,288.28x = 1,928.82 × 670.64
  4. Step 4: Simplify right side
    1,288.28x = 1,293,543.84
  5. Step 5: Solve for x
    x = 1,293,543.84/1,288.28
  6. Step 6: Final answer
    x = 1,004.09

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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.