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Finding the Fourth Proportional to 850, 1,275.06 and 771.76

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Solution

The fourth proportional to 850, 1,275.06 and 771.76 is: 1,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    850 : 1,275.06 = 771.76 : x
  2. Step 2: Convert to fraction form
    850/1,275.06 = 771.76/x
  3. Step 3: Cross multiply
    850x = 1,275.06 × 771.76
  4. Step 4: Simplify right side
    850x = 984,040.31
  5. Step 5: Solve for x
    x = 984,040.31/850
  6. Step 6: Final answer
    x = 1,157.69

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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.