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Finding the Fourth Proportional to 1,104.56, 1,523.76 and 662.64

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Solution

The fourth proportional to 1,104.56, 1,523.76 and 662.64 is: 914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.56 : 1,523.76 = 662.64 : x
  2. Step 2: Convert to fraction form
    1,104.56/1,523.76 = 662.64/x
  3. Step 3: Cross multiply
    1,104.56x = 1,523.76 × 662.64
  4. Step 4: Simplify right side
    1,104.56x = 1,009,704.33
  5. Step 5: Solve for x
    x = 1,009,704.33/1,104.56
  6. Step 6: Final answer
    x = 914.12

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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.