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Finding the Fourth Proportional to 1,295.65, 1,942.78 and 515.62

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Solution

The fourth proportional to 1,295.65, 1,942.78 and 515.62 is: 773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.65 : 1,942.78 = 515.62 : x
  2. Step 2: Convert to fraction form
    1,295.65/1,942.78 = 515.62/x
  3. Step 3: Cross multiply
    1,295.65x = 1,942.78 × 515.62
  4. Step 4: Simplify right side
    1,295.65x = 1,001,736.22
  5. Step 5: Solve for x
    x = 1,001,736.22/1,295.65
  6. Step 6: Final answer
    x = 773.15

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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.