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Finding the Fourth Proportional to 751.08, 1,128.02 and 614.42

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Solution

The fourth proportional to 751.08, 1,128.02 and 614.42 is: 922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.08 : 1,128.02 = 614.42 : x
  2. Step 2: Convert to fraction form
    751.08/1,128.02 = 614.42/x
  3. Step 3: Cross multiply
    751.08x = 1,128.02 × 614.42
  4. Step 4: Simplify right side
    751.08x = 693,078.05
  5. Step 5: Solve for x
    x = 693,078.05/751.08
  6. Step 6: Final answer
    x = 922.78

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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.