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Finding the Fourth Proportional to 1,257.21, 1,886.22 and 709.83

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Solution

The fourth proportional to 1,257.21, 1,886.22 and 709.83 is: 1,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.21 : 1,886.22 = 709.83 : x
  2. Step 2: Convert to fraction form
    1,257.21/1,886.22 = 709.83/x
  3. Step 3: Cross multiply
    1,257.21x = 1,886.22 × 709.83
  4. Step 4: Simplify right side
    1,257.21x = 1,338,895.54
  5. Step 5: Solve for x
    x = 1,338,895.54/1,257.21
  6. Step 6: Final answer
    x = 1,064.97

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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.