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Finding the Fourth Proportional to 1,232.50, 1,701.09 and 735.22

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Solution

The fourth proportional to 1,232.50, 1,701.09 and 735.22 is: 1,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.50 : 1,701.09 = 735.22 : x
  2. Step 2: Convert to fraction form
    1,232.50/1,701.09 = 735.22/x
  3. Step 3: Cross multiply
    1,232.50x = 1,701.09 × 735.22
  4. Step 4: Simplify right side
    1,232.50x = 1,250,675.39
  5. Step 5: Solve for x
    x = 1,250,675.39/1,232.50
  6. Step 6: Final answer
    x = 1,014.75

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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.