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Finding the Fourth Proportional to 1,263.82, 1,743.42 and 739.50

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Solution

The fourth proportional to 1,263.82, 1,743.42 and 739.50 is: 1,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.82 : 1,743.42 = 739.50 : x
  2. Step 2: Convert to fraction form
    1,263.82/1,743.42 = 739.50/x
  3. Step 3: Cross multiply
    1,263.82x = 1,743.42 × 739.50
  4. Step 4: Simplify right side
    1,263.82x = 1,289,259.09
  5. Step 5: Solve for x
    x = 1,289,259.09/1,263.82
  6. Step 6: Final answer
    x = 1,020.13

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Why These Related Problems?

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