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Finding the Fourth Proportional to 1,532.64, 2,299.32 and 558.75

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Solution

The fourth proportional to 1,532.64, 2,299.32 and 558.75 is: 838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.64 : 2,299.32 = 558.75 : x
  2. Step 2: Convert to fraction form
    1,532.64/2,299.32 = 558.75/x
  3. Step 3: Cross multiply
    1,532.64x = 2,299.32 × 558.75
  4. Step 4: Simplify right side
    1,532.64x = 1,284,745.05
  5. Step 5: Solve for x
    x = 1,284,745.05/1,532.64
  6. Step 6: Final answer
    x = 838.26

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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.