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Finding the Fourth Proportional to 1,258.24, 1,884.92 and 609.44

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Solution

The fourth proportional to 1,258.24, 1,884.92 and 609.44 is: 912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.24 : 1,884.92 = 609.44 : x
  2. Step 2: Convert to fraction form
    1,258.24/1,884.92 = 609.44/x
  3. Step 3: Cross multiply
    1,258.24x = 1,884.92 × 609.44
  4. Step 4: Simplify right side
    1,258.24x = 1,148,745.64
  5. Step 5: Solve for x
    x = 1,148,745.64/1,258.24
  6. Step 6: Final answer
    x = 912.98

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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.