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Finding the Fourth Proportional to 1,076.72, 1,485.79 and 604.55

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Solution

The fourth proportional to 1,076.72, 1,485.79 and 604.55 is: 834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.72 : 1,485.79 = 604.55 : x
  2. Step 2: Convert to fraction form
    1,076.72/1,485.79 = 604.55/x
  3. Step 3: Cross multiply
    1,076.72x = 1,485.79 × 604.55
  4. Step 4: Simplify right side
    1,076.72x = 898,236.55
  5. Step 5: Solve for x
    x = 898,236.55/1,076.72
  6. Step 6: Final answer
    x = 834.23

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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.