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Finding the Fourth Proportional to 1,257.36, 1,886.16 and 391.80

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Solution

The fourth proportional to 1,257.36, 1,886.16 and 391.80 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.36 : 1,886.16 = 391.80 : x
  2. Step 2: Convert to fraction form
    1,257.36/1,886.16 = 391.80/x
  3. Step 3: Cross multiply
    1,257.36x = 1,886.16 × 391.80
  4. Step 4: Simplify right side
    1,257.36x = 738,997.49
  5. Step 5: Solve for x
    x = 738,997.49/1,257.36
  6. Step 6: Final answer
    x = 587.74

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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.