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Finding the Fourth Proportional to 1,182.08, 1,631 and 684.54

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Solution

The fourth proportional to 1,182.08, 1,631 and 684.54 is: 944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.08 : 1,631 = 684.54 : x
  2. Step 2: Convert to fraction form
    1,182.08/1,631 = 684.54/x
  3. Step 3: Cross multiply
    1,182.08x = 1,631 × 684.54
  4. Step 4: Simplify right side
    1,182.08x = 1,116,484.74
  5. Step 5: Solve for x
    x = 1,116,484.74/1,182.08
  6. Step 6: Final answer
    x = 944.51

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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.