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Finding the Fourth Proportional to 862.94, 1,295.76 and 765.74

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Solution

The fourth proportional to 862.94, 1,295.76 and 765.74 is: 1,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,295.76 = 765.74 : x
  2. Step 2: Convert to fraction form
    862.94/1,295.76 = 765.74/x
  3. Step 3: Cross multiply
    862.94x = 1,295.76 × 765.74
  4. Step 4: Simplify right side
    862.94x = 992,221.37
  5. Step 5: Solve for x
    x = 992,221.37/862.94
  6. Step 6: Final answer
    x = 1,149.81

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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.