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Finding the Fourth Proportional to 1,295.88, 1,788.31 and 771.94

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Solution

The fourth proportional to 1,295.88, 1,788.31 and 771.94 is: 1,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.88 : 1,788.31 = 771.94 : x
  2. Step 2: Convert to fraction form
    1,295.88/1,788.31 = 771.94/x
  3. Step 3: Cross multiply
    1,295.88x = 1,788.31 × 771.94
  4. Step 4: Simplify right side
    1,295.88x = 1,380,468.02
  5. Step 5: Solve for x
    x = 1,380,468.02/1,295.88
  6. Step 6: Final answer
    x = 1,065.27

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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.