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Finding the Fourth Proportional to 1,257.63, 1,886.41 and 333.16

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Solution

The fourth proportional to 1,257.63, 1,886.41 and 333.16 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.63 : 1,886.41 = 333.16 : x
  2. Step 2: Convert to fraction form
    1,257.63/1,886.41 = 333.16/x
  3. Step 3: Cross multiply
    1,257.63x = 1,886.41 × 333.16
  4. Step 4: Simplify right side
    1,257.63x = 628,476.36
  5. Step 5: Solve for x
    x = 628,476.36/1,257.63
  6. Step 6: Final answer
    x = 499.73

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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.