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Finding the Fourth Proportional to 1,169.04, 1,606.41 and 935.76

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Solution

The fourth proportional to 1,169.04, 1,606.41 and 935.76 is: 1,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.04 : 1,606.41 = 935.76 : x
  2. Step 2: Convert to fraction form
    1,169.04/1,606.41 = 935.76/x
  3. Step 3: Cross multiply
    1,169.04x = 1,606.41 × 935.76
  4. Step 4: Simplify right side
    1,169.04x = 1,503,214.22
  5. Step 5: Solve for x
    x = 1,503,214.22/1,169.04
  6. Step 6: Final answer
    x = 1,285.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.