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Finding the Fourth Proportional to 583.69, 872.95 and 519.15

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Solution

The fourth proportional to 583.69, 872.95 and 519.15 is: 776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 872.95 = 519.15 : x
  2. Step 2: Convert to fraction form
    583.69/872.95 = 519.15/x
  3. Step 3: Cross multiply
    583.69x = 872.95 × 519.15
  4. Step 4: Simplify right side
    583.69x = 453,191.99
  5. Step 5: Solve for x
    x = 453,191.99/583.69
  6. Step 6: Final answer
    x = 776.43

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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.