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Finding the Fourth Proportional to 1,076.17, 1,485.18 and 604.11

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Solution

The fourth proportional to 1,076.17, 1,485.18 and 604.11 is: 833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.17 : 1,485.18 = 604.11 : x
  2. Step 2: Convert to fraction form
    1,076.17/1,485.18 = 604.11/x
  3. Step 3: Cross multiply
    1,076.17x = 1,485.18 × 604.11
  4. Step 4: Simplify right side
    1,076.17x = 897,212.09
  5. Step 5: Solve for x
    x = 897,212.09/1,076.17
  6. Step 6: Final answer
    x = 833.71

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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.