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Finding the Fourth Proportional to 1,295.70, 1,944.34 and 515.56

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Solution

The fourth proportional to 1,295.70, 1,944.34 and 515.56 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.70 : 1,944.34 = 515.56 : x
  2. Step 2: Convert to fraction form
    1,295.70/1,944.34 = 515.56/x
  3. Step 3: Cross multiply
    1,295.70x = 1,944.34 × 515.56
  4. Step 4: Simplify right side
    1,295.70x = 1,002,423.93
  5. Step 5: Solve for x
    x = 1,002,423.93/1,295.70
  6. Step 6: Final answer
    x = 773.65

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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.