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Finding the Fourth Proportional to 1,532.72, 2,299.43 and 558.83

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Solution

The fourth proportional to 1,532.72, 2,299.43 and 558.83 is: 838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.72 : 2,299.43 = 558.83 : x
  2. Step 2: Convert to fraction form
    1,532.72/2,299.43 = 558.83/x
  3. Step 3: Cross multiply
    1,532.72x = 2,299.43 × 558.83
  4. Step 4: Simplify right side
    1,532.72x = 1,284,981.49
  5. Step 5: Solve for x
    x = 1,284,981.49/1,532.72
  6. Step 6: Final answer
    x = 838.36

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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.