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Finding the Fourth Proportional to 844.98, 1,266.36 and 520.56

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Solution

The fourth proportional to 844.98, 1,266.36 and 520.56 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.98 : 1,266.36 = 520.56 : x
  2. Step 2: Convert to fraction form
    844.98/1,266.36 = 520.56/x
  3. Step 3: Cross multiply
    844.98x = 1,266.36 × 520.56
  4. Step 4: Simplify right side
    844.98x = 659,216.36
  5. Step 5: Solve for x
    x = 659,216.36/844.98
  6. Step 6: Final answer
    x = 780.16

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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.