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Finding the Fourth Proportional to 1,563.16, 2,344.36 and 588.72

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Solution

The fourth proportional to 1,563.16, 2,344.36 and 588.72 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.16 : 2,344.36 = 588.72 : x
  2. Step 2: Convert to fraction form
    1,563.16/2,344.36 = 588.72/x
  3. Step 3: Cross multiply
    1,563.16x = 2,344.36 × 588.72
  4. Step 4: Simplify right side
    1,563.16x = 1,380,171.62
  5. Step 5: Solve for x
    x = 1,380,171.62/1,563.16
  6. Step 6: Final answer
    x = 882.94

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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.