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Finding the Fourth Proportional to 1,003.46, 1,505.14 and 455.24

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Solution

The fourth proportional to 1,003.46, 1,505.14 and 455.24 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.46 : 1,505.14 = 455.24 : x
  2. Step 2: Convert to fraction form
    1,003.46/1,505.14 = 455.24/x
  3. Step 3: Cross multiply
    1,003.46x = 1,505.14 × 455.24
  4. Step 4: Simplify right side
    1,003.46x = 685,202.56
  5. Step 5: Solve for x
    x = 685,202.56/1,003.46
  6. Step 6: Final answer
    x = 682.84

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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.