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Finding the Fourth Proportional to 1,232.44, 1,700.78 and 708.48

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Solution

The fourth proportional to 1,232.44, 1,700.78 and 708.48 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.44 : 1,700.78 = 708.48 : x
  2. Step 2: Convert to fraction form
    1,232.44/1,700.78 = 708.48/x
  3. Step 3: Cross multiply
    1,232.44x = 1,700.78 × 708.48
  4. Step 4: Simplify right side
    1,232.44x = 1,204,965.07
  5. Step 5: Solve for x
    x = 1,204,965.07/1,232.44
  6. Step 6: Final answer
    x = 977.71

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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.