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Finding the Fourth Proportional to 1,263.56, 1,893.41 and 532.74

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Solution

The fourth proportional to 1,263.56, 1,893.41 and 532.74 is: 798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.56 : 1,893.41 = 532.74 : x
  2. Step 2: Convert to fraction form
    1,263.56/1,893.41 = 532.74/x
  3. Step 3: Cross multiply
    1,263.56x = 1,893.41 × 532.74
  4. Step 4: Simplify right side
    1,263.56x = 1,008,695.24
  5. Step 5: Solve for x
    x = 1,008,695.24/1,263.56
  6. Step 6: Final answer
    x = 798.30

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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.