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Finding the Fourth Proportional to 1,263.46, 1,895.28 and 397.75

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Solution

The fourth proportional to 1,263.46, 1,895.28 and 397.75 is: 596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.46 : 1,895.28 = 397.75 : x
  2. Step 2: Convert to fraction form
    1,263.46/1,895.28 = 397.75/x
  3. Step 3: Cross multiply
    1,263.46x = 1,895.28 × 397.75
  4. Step 4: Simplify right side
    1,263.46x = 753,847.62
  5. Step 5: Solve for x
    x = 753,847.62/1,263.46
  6. Step 6: Final answer
    x = 596.65

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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.