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Finding the Fourth Proportional to 1,295.86, 1,942.40 and 514.78

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Solution

The fourth proportional to 1,295.86, 1,942.40 and 514.78 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.86 : 1,942.40 = 514.78 : x
  2. Step 2: Convert to fraction form
    1,295.86/1,942.40 = 514.78/x
  3. Step 3: Cross multiply
    1,295.86x = 1,942.40 × 514.78
  4. Step 4: Simplify right side
    1,295.86x = 999,896.39
  5. Step 5: Solve for x
    x = 999,896.39/1,295.86
  6. Step 6: Final answer
    x = 771.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.