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Finding the Fourth Proportional to 596.00, 820.77 and 583.28

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Solution

The fourth proportional to 596.00, 820.77 and 583.28 is: 803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.00 : 820.77 = 583.28 : x
  2. Step 2: Convert to fraction form
    596.00/820.77 = 583.28/x
  3. Step 3: Cross multiply
    596.00x = 820.77 × 583.28
  4. Step 4: Simplify right side
    596.00x = 478,734.62
  5. Step 5: Solve for x
    x = 478,734.62/596.00
  6. Step 6: Final answer
    x = 803.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.