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Finding the Fourth Proportional to 1,264.28, 1,895.87 and 484.46

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Solution

The fourth proportional to 1,264.28, 1,895.87 and 484.46 is: 726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.28 : 1,895.87 = 484.46 : x
  2. Step 2: Convert to fraction form
    1,264.28/1,895.87 = 484.46/x
  3. Step 3: Cross multiply
    1,264.28x = 1,895.87 × 484.46
  4. Step 4: Simplify right side
    1,264.28x = 918,473.18
  5. Step 5: Solve for x
    x = 918,473.18/1,264.28
  6. Step 6: Final answer
    x = 726.48

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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.