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Finding the Fourth Proportional to 1,288.56, 1,932.54 and 364.22

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Solution

The fourth proportional to 1,288.56, 1,932.54 and 364.22 is: 546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.56 : 1,932.54 = 364.22 : x
  2. Step 2: Convert to fraction form
    1,288.56/1,932.54 = 364.22/x
  3. Step 3: Cross multiply
    1,288.56x = 1,932.54 × 364.22
  4. Step 4: Simplify right side
    1,288.56x = 703,869.72
  5. Step 5: Solve for x
    x = 703,869.72/1,288.56
  6. Step 6: Final answer
    x = 546.25

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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.