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Finding the Fourth Proportional to 1,258.72, 1,887.84 and 489.04

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Solution

The fourth proportional to 1,258.72, 1,887.84 and 489.04 is: 733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.72 : 1,887.84 = 489.04 : x
  2. Step 2: Convert to fraction form
    1,258.72/1,887.84 = 489.04/x
  3. Step 3: Cross multiply
    1,258.72x = 1,887.84 × 489.04
  4. Step 4: Simplify right side
    1,258.72x = 923,229.27
  5. Step 5: Solve for x
    x = 923,229.27/1,258.72
  6. Step 6: Final answer
    x = 733.47

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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.