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Finding the Fourth Proportional to 1,289.17, 1,932.54 and 422.92

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Solution

The fourth proportional to 1,289.17, 1,932.54 and 422.92 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.17 : 1,932.54 = 422.92 : x
  2. Step 2: Convert to fraction form
    1,289.17/1,932.54 = 422.92/x
  3. Step 3: Cross multiply
    1,289.17x = 1,932.54 × 422.92
  4. Step 4: Simplify right side
    1,289.17x = 817,309.82
  5. Step 5: Solve for x
    x = 817,309.82/1,289.17
  6. Step 6: Final answer
    x = 633.98

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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.