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Finding the Fourth Proportional to 584.80, 874.62 and 520.26

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Solution

The fourth proportional to 584.80, 874.62 and 520.26 is: 778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 874.62 = 520.26 : x
  2. Step 2: Convert to fraction form
    584.80/874.62 = 520.26/x
  3. Step 3: Cross multiply
    584.80x = 874.62 × 520.26
  4. Step 4: Simplify right side
    584.80x = 455,027.98
  5. Step 5: Solve for x
    x = 455,027.98/584.80
  6. Step 6: Final answer
    x = 778.09

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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.