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Finding the Fourth Proportional to 1,263.80, 1,738.86 and 1,234.64

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Solution

The fourth proportional to 1,263.80, 1,738.86 and 1,234.64 is: 1,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.80 : 1,738.86 = 1,234.64 : x
  2. Step 2: Convert to fraction form
    1,263.80/1,738.86 = 1,234.64/x
  3. Step 3: Cross multiply
    1,263.80x = 1,738.86 × 1,234.64
  4. Step 4: Simplify right side
    1,263.80x = 2,146,866.11
  5. Step 5: Solve for x
    x = 2,146,866.11/1,263.80
  6. Step 6: Final answer
    x = 1,698.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.