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Finding the Fourth Proportional to 605.80, 830.56 and 594.87

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Solution

The fourth proportional to 605.80, 830.56 and 594.87 is: 815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 830.56 = 594.87 : x
  2. Step 2: Convert to fraction form
    605.80/830.56 = 594.87/x
  3. Step 3: Cross multiply
    605.80x = 830.56 × 594.87
  4. Step 4: Simplify right side
    605.80x = 494,068.10
  5. Step 5: Solve for x
    x = 494,068.10/605.80
  6. Step 6: Final answer
    x = 815.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.