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Finding the Fourth Proportional to 1,076.23, 1,485.12 and 604.10

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Solution

The fourth proportional to 1,076.23, 1,485.12 and 604.10 is: 833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.23 : 1,485.12 = 604.10 : x
  2. Step 2: Convert to fraction form
    1,076.23/1,485.12 = 604.10/x
  3. Step 3: Cross multiply
    1,076.23x = 1,485.12 × 604.10
  4. Step 4: Simplify right side
    1,076.23x = 897,157.97
  5. Step 5: Solve for x
    x = 897,157.97/1,076.23
  6. Step 6: Final answer
    x = 833.61

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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.