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Finding the Fourth Proportional to 596.68, 826.75 and 583.72

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Solution

The fourth proportional to 596.68, 826.75 and 583.72 is: 808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 826.75 = 583.72 : x
  2. Step 2: Convert to fraction form
    596.68/826.75 = 583.72/x
  3. Step 3: Cross multiply
    596.68x = 826.75 × 583.72
  4. Step 4: Simplify right side
    596.68x = 482,590.51
  5. Step 5: Solve for x
    x = 482,590.51/596.68
  6. Step 6: Final answer
    x = 808.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.