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Finding the Fourth Proportional to 1,264.15, 1,743.95 and 739.88

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Solution

The fourth proportional to 1,264.15, 1,743.95 and 739.88 is: 1,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.15 : 1,743.95 = 739.88 : x
  2. Step 2: Convert to fraction form
    1,264.15/1,743.95 = 739.88/x
  3. Step 3: Cross multiply
    1,264.15x = 1,743.95 × 739.88
  4. Step 4: Simplify right side
    1,264.15x = 1,290,313.73
  5. Step 5: Solve for x
    x = 1,290,313.73/1,264.15
  6. Step 6: Final answer
    x = 1,020.70

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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.