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Finding the Fourth Proportional to 1,255.59, 1,883.16 and 331.15

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Solution

The fourth proportional to 1,255.59, 1,883.16 and 331.15 is: 496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.59 : 1,883.16 = 331.15 : x
  2. Step 2: Convert to fraction form
    1,255.59/1,883.16 = 331.15/x
  3. Step 3: Cross multiply
    1,255.59x = 1,883.16 × 331.15
  4. Step 4: Simplify right side
    1,255.59x = 623,612.03
  5. Step 5: Solve for x
    x = 623,612.03/1,255.59
  6. Step 6: Final answer
    x = 496.67

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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.