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Finding the Fourth Proportional to 1,187.03, 1,638.15 and 662.96

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Solution

The fourth proportional to 1,187.03, 1,638.15 and 662.96 is: 914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.03 : 1,638.15 = 662.96 : x
  2. Step 2: Convert to fraction form
    1,187.03/1,638.15 = 662.96/x
  3. Step 3: Cross multiply
    1,187.03x = 1,638.15 × 662.96
  4. Step 4: Simplify right side
    1,187.03x = 1,086,027.92
  5. Step 5: Solve for x
    x = 1,086,027.92/1,187.03
  6. Step 6: Final answer
    x = 914.91

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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.