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Finding the Fourth Proportional to 1,003.12, 1,504.86 and 455.34

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Solution

The fourth proportional to 1,003.12, 1,504.86 and 455.34 is: 683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.12 : 1,504.86 = 455.34 : x
  2. Step 2: Convert to fraction form
    1,003.12/1,504.86 = 455.34/x
  3. Step 3: Cross multiply
    1,003.12x = 1,504.86 × 455.34
  4. Step 4: Simplify right side
    1,003.12x = 685,215.43
  5. Step 5: Solve for x
    x = 685,215.43/1,003.12
  6. Step 6: Final answer
    x = 683.09

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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.