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Finding the Fourth Proportional to 812.50, 1,219.04 and 520.14

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Solution

The fourth proportional to 812.50, 1,219.04 and 520.14 is: 780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.50 : 1,219.04 = 520.14 : x
  2. Step 2: Convert to fraction form
    812.50/1,219.04 = 520.14/x
  3. Step 3: Cross multiply
    812.50x = 1,219.04 × 520.14
  4. Step 4: Simplify right side
    812.50x = 634,069.26
  5. Step 5: Solve for x
    x = 634,069.26/812.50
  6. Step 6: Final answer
    x = 780.39

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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.