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Finding the Fourth Proportional to 844.80, 1,266.84 and 317.34

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Solution

The fourth proportional to 844.80, 1,266.84 and 317.34 is: 475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,266.84 = 317.34 : x
  2. Step 2: Convert to fraction form
    844.80/1,266.84 = 317.34/x
  3. Step 3: Cross multiply
    844.80x = 1,266.84 × 317.34
  4. Step 4: Simplify right side
    844.80x = 402,019.01
  5. Step 5: Solve for x
    x = 402,019.01/844.80
  6. Step 6: Final answer
    x = 475.87

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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.