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Finding the Fourth Proportional to 1,431.92, 1,976.38 and 933.69

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Solution

The fourth proportional to 1,431.92, 1,976.38 and 933.69 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.92 : 1,976.38 = 933.69 : x
  2. Step 2: Convert to fraction form
    1,431.92/1,976.38 = 933.69/x
  3. Step 3: Cross multiply
    1,431.92x = 1,976.38 × 933.69
  4. Step 4: Simplify right side
    1,431.92x = 1,845,323.91
  5. Step 5: Solve for x
    x = 1,845,323.91/1,431.92
  6. Step 6: Final answer
    x = 1,288.71

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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.