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Finding the Fourth Proportional to 1,263.63, 1,743.81 and 711.63

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Solution

The fourth proportional to 1,263.63, 1,743.81 and 711.63 is: 982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.63 : 1,743.81 = 711.63 : x
  2. Step 2: Convert to fraction form
    1,263.63/1,743.81 = 711.63/x
  3. Step 3: Cross multiply
    1,263.63x = 1,743.81 × 711.63
  4. Step 4: Simplify right side
    1,263.63x = 1,240,947.51
  5. Step 5: Solve for x
    x = 1,240,947.51/1,263.63
  6. Step 6: Final answer
    x = 982.05

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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.