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Finding the Fourth Proportional to 874.41, 1,310.65 and 771.94

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Solution

The fourth proportional to 874.41, 1,310.65 and 771.94 is: 1,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.41 : 1,310.65 = 771.94 : x
  2. Step 2: Convert to fraction form
    874.41/1,310.65 = 771.94/x
  3. Step 3: Cross multiply
    874.41x = 1,310.65 × 771.94
  4. Step 4: Simplify right side
    874.41x = 1,011,742.87
  5. Step 5: Solve for x
    x = 1,011,742.87/874.41
  6. Step 6: Final answer
    x = 1,157.06

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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.