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Finding the Fourth Proportional to 874.98, 1,310.13 and 771.20

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Solution

The fourth proportional to 874.98, 1,310.13 and 771.20 is: 1,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.98 : 1,310.13 = 771.20 : x
  2. Step 2: Convert to fraction form
    874.98/1,310.13 = 771.20/x
  3. Step 3: Cross multiply
    874.98x = 1,310.13 × 771.20
  4. Step 4: Simplify right side
    874.98x = 1,010,372.26
  5. Step 5: Solve for x
    x = 1,010,372.26/874.98
  6. Step 6: Final answer
    x = 1,154.74

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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.