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Finding the Fourth Proportional to 1,019.72, 1,408.38 and 671.96

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Solution

The fourth proportional to 1,019.72, 1,408.38 and 671.96 is: 928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.72 : 1,408.38 = 671.96 : x
  2. Step 2: Convert to fraction form
    1,019.72/1,408.38 = 671.96/x
  3. Step 3: Cross multiply
    1,019.72x = 1,408.38 × 671.96
  4. Step 4: Simplify right side
    1,019.72x = 946,375.02
  5. Step 5: Solve for x
    x = 946,375.02/1,019.72
  6. Step 6: Final answer
    x = 928.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.