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Finding the Fourth Proportional to 1,003.25, 1,504.02 and 455.28

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Solution

The fourth proportional to 1,003.25, 1,504.02 and 455.28 is: 682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.25 : 1,504.02 = 455.28 : x
  2. Step 2: Convert to fraction form
    1,003.25/1,504.02 = 455.28/x
  3. Step 3: Cross multiply
    1,003.25x = 1,504.02 × 455.28
  4. Step 4: Simplify right side
    1,003.25x = 684,751.93
  5. Step 5: Solve for x
    x = 684,751.93/1,003.25
  6. Step 6: Final answer
    x = 682.54

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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.