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Finding the Fourth Proportional to 1,264.25, 1,744.50 and 704.66

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Solution

The fourth proportional to 1,264.25, 1,744.50 and 704.66 is: 972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.25 : 1,744.50 = 704.66 : x
  2. Step 2: Convert to fraction form
    1,264.25/1,744.50 = 704.66/x
  3. Step 3: Cross multiply
    1,264.25x = 1,744.50 × 704.66
  4. Step 4: Simplify right side
    1,264.25x = 1,229,268.01
  5. Step 5: Solve for x
    x = 1,229,268.01/1,264.25
  6. Step 6: Final answer
    x = 972.33

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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.