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Finding the Fourth Proportional to 1,082.08, 1,491.51 and 845.61

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Solution

The fourth proportional to 1,082.08, 1,491.51 and 845.61 is: 1,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.08 : 1,491.51 = 845.61 : x
  2. Step 2: Convert to fraction form
    1,082.08/1,491.51 = 845.61/x
  3. Step 3: Cross multiply
    1,082.08x = 1,491.51 × 845.61
  4. Step 4: Simplify right side
    1,082.08x = 1,261,235.77
  5. Step 5: Solve for x
    x = 1,261,235.77/1,082.08
  6. Step 6: Final answer
    x = 1,165.57

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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.