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Finding the Fourth Proportional to 583.80, 819.75 and 583.80

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Solution

The fourth proportional to 583.80, 819.75 and 583.80 is: 819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 819.75 = 583.80 : x
  2. Step 2: Convert to fraction form
    583.80/819.75 = 583.80/x
  3. Step 3: Cross multiply
    583.80x = 819.75 × 583.80
  4. Step 4: Simplify right side
    583.80x = 478,570.05
  5. Step 5: Solve for x
    x = 478,570.05/583.80
  6. Step 6: Final answer
    x = 819.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.