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Finding the Fourth Proportional to 583.58, 872.78 and 519.03

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Solution

The fourth proportional to 583.58, 872.78 and 519.03 is: 776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 872.78 = 519.03 : x
  2. Step 2: Convert to fraction form
    583.58/872.78 = 519.03/x
  3. Step 3: Cross multiply
    583.58x = 872.78 × 519.03
  4. Step 4: Simplify right side
    583.58x = 453,000.30
  5. Step 5: Solve for x
    x = 453,000.30/583.58
  6. Step 6: Final answer
    x = 776.25

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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.