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Finding the Fourth Proportional to 1,475.26, 2,211.86 and 550.57

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Solution

The fourth proportional to 1,475.26, 2,211.86 and 550.57 is: 825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.26 : 2,211.86 = 550.57 : x
  2. Step 2: Convert to fraction form
    1,475.26/2,211.86 = 550.57/x
  3. Step 3: Cross multiply
    1,475.26x = 2,211.86 × 550.57
  4. Step 4: Simplify right side
    1,475.26x = 1,217,783.76
  5. Step 5: Solve for x
    x = 1,217,783.76/1,475.26
  6. Step 6: Final answer
    x = 825.47

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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.