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Finding the Fourth Proportional to 1,105.15, 1,524.60 and 662.29

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Solution

The fourth proportional to 1,105.15, 1,524.60 and 662.29 is: 913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.15 : 1,524.60 = 662.29 : x
  2. Step 2: Convert to fraction form
    1,105.15/1,524.60 = 662.29/x
  3. Step 3: Cross multiply
    1,105.15x = 1,524.60 × 662.29
  4. Step 4: Simplify right side
    1,105.15x = 1,009,720.66
  5. Step 5: Solve for x
    x = 1,009,720.66/1,105.15
  6. Step 6: Final answer
    x = 913.65

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