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Finding the Fourth Proportional to 1,258.20, 1,900.80 and 1,258.20

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Solution

The fourth proportional to 1,258.20, 1,900.80 and 1,258.20 is: 1,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.20 : 1,900.80 = 1,258.20 : x
  2. Step 2: Convert to fraction form
    1,258.20/1,900.80 = 1,258.20/x
  3. Step 3: Cross multiply
    1,258.20x = 1,900.80 × 1,258.20
  4. Step 4: Simplify right side
    1,258.20x = 2,391,586.56
  5. Step 5: Solve for x
    x = 2,391,586.56/1,258.20
  6. Step 6: Final answer
    x = 1,900.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.