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Finding the Fourth Proportional to 605.83, 837.80 and 594.90

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Solution

The fourth proportional to 605.83, 837.80 and 594.90 is: 822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.83 : 837.80 = 594.90 : x
  2. Step 2: Convert to fraction form
    605.83/837.80 = 594.90/x
  3. Step 3: Cross multiply
    605.83x = 837.80 × 594.90
  4. Step 4: Simplify right side
    605.83x = 498,407.22
  5. Step 5: Solve for x
    x = 498,407.22/605.83
  6. Step 6: Final answer
    x = 822.68

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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.