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Finding the Fourth Proportional to 594.82, 820.56 and 583.93

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Solution

The fourth proportional to 594.82, 820.56 and 583.93 is: 805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 820.56 = 583.93 : x
  2. Step 2: Convert to fraction form
    594.82/820.56 = 583.93/x
  3. Step 3: Cross multiply
    594.82x = 820.56 × 583.93
  4. Step 4: Simplify right side
    594.82x = 479,149.60
  5. Step 5: Solve for x
    x = 479,149.60/594.82
  6. Step 6: Final answer
    x = 805.54

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