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Finding the Fourth Proportional to 1,295.79, 1,942.30 and 746.83

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Solution

The fourth proportional to 1,295.79, 1,942.30 and 746.83 is: 1,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.79 : 1,942.30 = 746.83 : x
  2. Step 2: Convert to fraction form
    1,295.79/1,942.30 = 746.83/x
  3. Step 3: Cross multiply
    1,295.79x = 1,942.30 × 746.83
  4. Step 4: Simplify right side
    1,295.79x = 1,450,567.91
  5. Step 5: Solve for x
    x = 1,450,567.91/1,295.79
  6. Step 6: Final answer
    x = 1,119.45

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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.