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Finding the Fourth Proportional to 1,232.31, 1,700.34 and 735.09

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Solution

The fourth proportional to 1,232.31, 1,700.34 and 735.09 is: 1,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.31 : 1,700.34 = 735.09 : x
  2. Step 2: Convert to fraction form
    1,232.31/1,700.34 = 735.09/x
  3. Step 3: Cross multiply
    1,232.31x = 1,700.34 × 735.09
  4. Step 4: Simplify right side
    1,232.31x = 1,249,902.93
  5. Step 5: Solve for x
    x = 1,249,902.93/1,232.31
  6. Step 6: Final answer
    x = 1,014.28

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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.