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Finding the Fourth Proportional to 1,258.92, 1,887.53 and 673.43

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Solution

The fourth proportional to 1,258.92, 1,887.53 and 673.43 is: 1,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.92 : 1,887.53 = 673.43 : x
  2. Step 2: Convert to fraction form
    1,258.92/1,887.53 = 673.43/x
  3. Step 3: Cross multiply
    1,258.92x = 1,887.53 × 673.43
  4. Step 4: Simplify right side
    1,258.92x = 1,271,106.52
  5. Step 5: Solve for x
    x = 1,271,106.52/1,258.92
  6. Step 6: Final answer
    x = 1,009.68

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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.