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Finding the Fourth Proportional to 1,295.91, 1,787.72 and 771.57

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Solution

The fourth proportional to 1,295.91, 1,787.72 and 771.57 is: 1,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.91 : 1,787.72 = 771.57 : x
  2. Step 2: Convert to fraction form
    1,295.91/1,787.72 = 771.57/x
  3. Step 3: Cross multiply
    1,295.91x = 1,787.72 × 771.57
  4. Step 4: Simplify right side
    1,295.91x = 1,379,351.12
  5. Step 5: Solve for x
    x = 1,379,351.12/1,295.91
  6. Step 6: Final answer
    x = 1,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.