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Finding the Fourth Proportional to 1,011.56, 1,516.30 and 767.57

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Solution

The fourth proportional to 1,011.56, 1,516.30 and 767.57 is: 1,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.56 : 1,516.30 = 767.57 : x
  2. Step 2: Convert to fraction form
    1,011.56/1,516.30 = 767.57/x
  3. Step 3: Cross multiply
    1,011.56x = 1,516.30 × 767.57
  4. Step 4: Simplify right side
    1,011.56x = 1,163,856.89
  5. Step 5: Solve for x
    x = 1,163,856.89/1,011.56
  6. Step 6: Final answer
    x = 1,150.56

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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.