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Finding the Fourth Proportional to 1,288.96, 1,932.97 and 467.02

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Solution

The fourth proportional to 1,288.96, 1,932.97 and 467.02 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.96 : 1,932.97 = 467.02 : x
  2. Step 2: Convert to fraction form
    1,288.96/1,932.97 = 467.02/x
  3. Step 3: Cross multiply
    1,288.96x = 1,932.97 × 467.02
  4. Step 4: Simplify right side
    1,288.96x = 902,735.65
  5. Step 5: Solve for x
    x = 902,735.65/1,288.96
  6. Step 6: Final answer
    x = 700.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.