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Finding the Fourth Proportional to 1,455.37, 2,182.78 and 481.34

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Solution

The fourth proportional to 1,455.37, 2,182.78 and 481.34 is: 721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.37 : 2,182.78 = 481.34 : x
  2. Step 2: Convert to fraction form
    1,455.37/2,182.78 = 481.34/x
  3. Step 3: Cross multiply
    1,455.37x = 2,182.78 × 481.34
  4. Step 4: Simplify right side
    1,455.37x = 1,050,665.38
  5. Step 5: Solve for x
    x = 1,050,665.38/1,455.37
  6. Step 6: Final answer
    x = 721.92

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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.