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Finding the Fourth Proportional to 520.85, 782.09 and 497.76

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Solution

The fourth proportional to 520.85, 782.09 and 497.76 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.85 : 782.09 = 497.76 : x
  2. Step 2: Convert to fraction form
    520.85/782.09 = 497.76/x
  3. Step 3: Cross multiply
    520.85x = 782.09 × 497.76
  4. Step 4: Simplify right side
    520.85x = 389,290.63
  5. Step 5: Solve for x
    x = 389,290.63/520.85
  6. Step 6: Final answer
    x = 747.42

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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.