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Finding the Fourth Proportional to 596.66, 820.94 and 582.85

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Solution

The fourth proportional to 596.66, 820.94 and 582.85 is: 801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.66 : 820.94 = 582.85 : x
  2. Step 2: Convert to fraction form
    596.66/820.94 = 582.85/x
  3. Step 3: Cross multiply
    596.66x = 820.94 × 582.85
  4. Step 4: Simplify right side
    596.66x = 478,482.99
  5. Step 5: Solve for x
    x = 478,482.99/596.66
  6. Step 6: Final answer
    x = 801.94

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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.