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Finding the Fourth Proportional to 1,004.22, 1,504.65 and 657.12

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Solution

The fourth proportional to 1,004.22, 1,504.65 and 657.12 is: 984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.22 : 1,504.65 = 657.12 : x
  2. Step 2: Convert to fraction form
    1,004.22/1,504.65 = 657.12/x
  3. Step 3: Cross multiply
    1,004.22x = 1,504.65 × 657.12
  4. Step 4: Simplify right side
    1,004.22x = 988,735.61
  5. Step 5: Solve for x
    x = 988,735.61/1,004.22
  6. Step 6: Final answer
    x = 984.58

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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.