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Finding the Fourth Proportional to 1,232.97, 1,701.84 and 735.93

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Solution

The fourth proportional to 1,232.97, 1,701.84 and 735.93 is: 1,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.97 : 1,701.84 = 735.93 : x
  2. Step 2: Convert to fraction form
    1,232.97/1,701.84 = 735.93/x
  3. Step 3: Cross multiply
    1,232.97x = 1,701.84 × 735.93
  4. Step 4: Simplify right side
    1,232.97x = 1,252,435.11
  5. Step 5: Solve for x
    x = 1,252,435.11/1,232.97
  6. Step 6: Final answer
    x = 1,015.79

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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.