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Finding the Fourth Proportional to 1,051.92, 1,576.96 and 758.70

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Solution

The fourth proportional to 1,051.92, 1,576.96 and 758.70 is: 1,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.92 : 1,576.96 = 758.70 : x
  2. Step 2: Convert to fraction form
    1,051.92/1,576.96 = 758.70/x
  3. Step 3: Cross multiply
    1,051.92x = 1,576.96 × 758.70
  4. Step 4: Simplify right side
    1,051.92x = 1,196,439.55
  5. Step 5: Solve for x
    x = 1,196,439.55/1,051.92
  6. Step 6: Final answer
    x = 1,137.39

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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.