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Finding the Fourth Proportional to 1,115.75, 1,671.34 and 528.97

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Solution

The fourth proportional to 1,115.75, 1,671.34 and 528.97 is: 792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.75 : 1,671.34 = 528.97 : x
  2. Step 2: Convert to fraction form
    1,115.75/1,671.34 = 528.97/x
  3. Step 3: Cross multiply
    1,115.75x = 1,671.34 × 528.97
  4. Step 4: Simplify right side
    1,115.75x = 884,086.48
  5. Step 5: Solve for x
    x = 884,086.48/1,115.75
  6. Step 6: Final answer
    x = 792.37

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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.