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Finding the Fourth Proportional to 1,288.39, 1,932.95 and 423.31

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Solution

The fourth proportional to 1,288.39, 1,932.95 and 423.31 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.39 : 1,932.95 = 423.31 : x
  2. Step 2: Convert to fraction form
    1,288.39/1,932.95 = 423.31/x
  3. Step 3: Cross multiply
    1,288.39x = 1,932.95 × 423.31
  4. Step 4: Simplify right side
    1,288.39x = 818,237.06
  5. Step 5: Solve for x
    x = 818,237.06/1,288.39
  6. Step 6: Final answer
    x = 635.08

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