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Finding the Fourth Proportional to 1,232.21, 1,700.66 and 760.48

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Solution

The fourth proportional to 1,232.21, 1,700.66 and 760.48 is: 1,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.21 : 1,700.66 = 760.48 : x
  2. Step 2: Convert to fraction form
    1,232.21/1,700.66 = 760.48/x
  3. Step 3: Cross multiply
    1,232.21x = 1,700.66 × 760.48
  4. Step 4: Simplify right side
    1,232.21x = 1,293,315.57
  5. Step 5: Solve for x
    x = 1,293,315.57/1,232.21
  6. Step 6: Final answer
    x = 1,049.59

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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.