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Finding the Fourth Proportional to 1,257.88, 1,886.82 and 392.26

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Solution

The fourth proportional to 1,257.88, 1,886.82 and 392.26 is: 588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.88 : 1,886.82 = 392.26 : x
  2. Step 2: Convert to fraction form
    1,257.88/1,886.82 = 392.26/x
  3. Step 3: Cross multiply
    1,257.88x = 1,886.82 × 392.26
  4. Step 4: Simplify right side
    1,257.88x = 740,124.01
  5. Step 5: Solve for x
    x = 740,124.01/1,257.88
  6. Step 6: Final answer
    x = 588.39

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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.