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Finding the Fourth Proportional to 605.97, 910.52 and 589.04

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Solution

The fourth proportional to 605.97, 910.52 and 589.04 is: 885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.97 : 910.52 = 589.04 : x
  2. Step 2: Convert to fraction form
    605.97/910.52 = 589.04/x
  3. Step 3: Cross multiply
    605.97x = 910.52 × 589.04
  4. Step 4: Simplify right side
    605.97x = 536,325.20
  5. Step 5: Solve for x
    x = 536,325.20/605.97
  6. Step 6: Final answer
    x = 885.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.