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Finding the Fourth Proportional to 1,563.23, 2,344.57 and 589.34

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Solution

The fourth proportional to 1,563.23, 2,344.57 and 589.34 is: 883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.23 : 2,344.57 = 589.34 : x
  2. Step 2: Convert to fraction form
    1,563.23/2,344.57 = 589.34/x
  3. Step 3: Cross multiply
    1,563.23x = 2,344.57 × 589.34
  4. Step 4: Simplify right side
    1,563.23x = 1,381,735.69
  5. Step 5: Solve for x
    x = 1,381,735.69/1,563.23
  6. Step 6: Final answer
    x = 883.90

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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.