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Finding the Fourth Proportional to 1,256.29, 1,884.41 and 331.85

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Solution

The fourth proportional to 1,256.29, 1,884.41 and 331.85 is: 497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.29 : 1,884.41 = 331.85 : x
  2. Step 2: Convert to fraction form
    1,256.29/1,884.41 = 331.85/x
  3. Step 3: Cross multiply
    1,256.29x = 1,884.41 × 331.85
  4. Step 4: Simplify right side
    1,256.29x = 625,344.51
  5. Step 5: Solve for x
    x = 625,344.51/1,256.29
  6. Step 6: Final answer
    x = 497.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.