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Finding the Fourth Proportional to 1,289.28, 1,934.56 and 950.08

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Solution

The fourth proportional to 1,289.28, 1,934.56 and 950.08 is: 1,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.28 : 1,934.56 = 950.08 : x
  2. Step 2: Convert to fraction form
    1,289.28/1,934.56 = 950.08/x
  3. Step 3: Cross multiply
    1,289.28x = 1,934.56 × 950.08
  4. Step 4: Simplify right side
    1,289.28x = 1,837,986.76
  5. Step 5: Solve for x
    x = 1,837,986.76/1,289.28
  6. Step 6: Final answer
    x = 1,425.59

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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.