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Finding the Fourth Proportional to 1,366.52, 1,885.41 and 842.85

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Solution

The fourth proportional to 1,366.52, 1,885.41 and 842.85 is: 1,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.52 : 1,885.41 = 842.85 : x
  2. Step 2: Convert to fraction form
    1,366.52/1,885.41 = 842.85/x
  3. Step 3: Cross multiply
    1,366.52x = 1,885.41 × 842.85
  4. Step 4: Simplify right side
    1,366.52x = 1,589,117.82
  5. Step 5: Solve for x
    x = 1,589,117.82/1,366.52
  6. Step 6: Final answer
    x = 1,162.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.