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Finding the Fourth Proportional to 1,264.52, 1,896.72 and 442.78

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Solution

The fourth proportional to 1,264.52, 1,896.72 and 442.78 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.52 : 1,896.72 = 442.78 : x
  2. Step 2: Convert to fraction form
    1,264.52/1,896.72 = 442.78/x
  3. Step 3: Cross multiply
    1,264.52x = 1,896.72 × 442.78
  4. Step 4: Simplify right side
    1,264.52x = 839,829.68
  5. Step 5: Solve for x
    x = 839,829.68/1,264.52
  6. Step 6: Final answer
    x = 664.15

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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.