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Finding the Fourth Proportional to 1,016.39, 1,527.28 and 950.78

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Solution

The fourth proportional to 1,016.39, 1,527.28 and 950.78 is: 1,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.39 : 1,527.28 = 950.78 : x
  2. Step 2: Convert to fraction form
    1,016.39/1,527.28 = 950.78/x
  3. Step 3: Cross multiply
    1,016.39x = 1,527.28 × 950.78
  4. Step 4: Simplify right side
    1,016.39x = 1,452,097.27
  5. Step 5: Solve for x
    x = 1,452,097.27/1,016.39
  6. Step 6: Final answer
    x = 1,428.69

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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.