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Finding the Fourth Proportional to 1,605.90, 2,409.01 and 579.66

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Solution

The fourth proportional to 1,605.90, 2,409.01 and 579.66 is: 869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.90 : 2,409.01 = 579.66 : x
  2. Step 2: Convert to fraction form
    1,605.90/2,409.01 = 579.66/x
  3. Step 3: Cross multiply
    1,605.90x = 2,409.01 × 579.66
  4. Step 4: Simplify right side
    1,605.90x = 1,396,406.74
  5. Step 5: Solve for x
    x = 1,396,406.74/1,605.90
  6. Step 6: Final answer
    x = 869.55

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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.