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Finding the Fourth Proportional to 1,255.64, 1,882.32 and 475.12

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Solution

The fourth proportional to 1,255.64, 1,882.32 and 475.12 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.64 : 1,882.32 = 475.12 : x
  2. Step 2: Convert to fraction form
    1,255.64/1,882.32 = 475.12/x
  3. Step 3: Cross multiply
    1,255.64x = 1,882.32 × 475.12
  4. Step 4: Simplify right side
    1,255.64x = 894,327.88
  5. Step 5: Solve for x
    x = 894,327.88/1,255.64
  6. Step 6: Final answer
    x = 712.25

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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.