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Finding the Fourth Proportional to 1,264.44, 1,896.72 and 398.76

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Solution

The fourth proportional to 1,264.44, 1,896.72 and 398.76 is: 598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.44 : 1,896.72 = 398.76 : x
  2. Step 2: Convert to fraction form
    1,264.44/1,896.72 = 398.76/x
  3. Step 3: Cross multiply
    1,264.44x = 1,896.72 × 398.76
  4. Step 4: Simplify right side
    1,264.44x = 756,336.07
  5. Step 5: Solve for x
    x = 756,336.07/1,264.44
  6. Step 6: Final answer
    x = 598.16

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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.