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Finding the Fourth Proportional to 1,475.52, 2,212.26 and 550.83

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Solution

The fourth proportional to 1,475.52, 2,212.26 and 550.83 is: 825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.52 : 2,212.26 = 550.83 : x
  2. Step 2: Convert to fraction form
    1,475.52/2,212.26 = 550.83/x
  3. Step 3: Cross multiply
    1,475.52x = 2,212.26 × 550.83
  4. Step 4: Simplify right side
    1,475.52x = 1,218,588.50
  5. Step 5: Solve for x
    x = 1,218,588.50/1,475.52
  6. Step 6: Final answer
    x = 825.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.