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Finding the Fourth Proportional to 1,258.14, 1,886.81 and 380.30

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Solution

The fourth proportional to 1,258.14, 1,886.81 and 380.30 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.14 : 1,886.81 = 380.30 : x
  2. Step 2: Convert to fraction form
    1,258.14/1,886.81 = 380.30/x
  3. Step 3: Cross multiply
    1,258.14x = 1,886.81 × 380.30
  4. Step 4: Simplify right side
    1,258.14x = 717,556.66
  5. Step 5: Solve for x
    x = 717,556.66/1,258.14
  6. Step 6: Final answer
    x = 570.33

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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.