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Finding the Fourth Proportional to 1,264.56, 1,896.36 and 442.68

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Solution

The fourth proportional to 1,264.56, 1,896.36 and 442.68 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.56 : 1,896.36 = 442.68 : x
  2. Step 2: Convert to fraction form
    1,264.56/1,896.36 = 442.68/x
  3. Step 3: Cross multiply
    1,264.56x = 1,896.36 × 442.68
  4. Step 4: Simplify right side
    1,264.56x = 839,480.64
  5. Step 5: Solve for x
    x = 839,480.64/1,264.56
  6. Step 6: Final answer
    x = 663.85

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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.