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Finding the Fourth Proportional to 1,232.91, 1,701.43 and 735.77

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Solution

The fourth proportional to 1,232.91, 1,701.43 and 735.77 is: 1,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.91 : 1,701.43 = 735.77 : x
  2. Step 2: Convert to fraction form
    1,232.91/1,701.43 = 735.77/x
  3. Step 3: Cross multiply
    1,232.91x = 1,701.43 × 735.77
  4. Step 4: Simplify right side
    1,232.91x = 1,251,863.57
  5. Step 5: Solve for x
    x = 1,251,863.57/1,232.91
  6. Step 6: Final answer
    x = 1,015.37

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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.