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Finding the Fourth Proportional to 1,232.56, 1,700.52 and 766.78

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Solution

The fourth proportional to 1,232.56, 1,700.52 and 766.78 is: 1,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.56 : 1,700.52 = 766.78 : x
  2. Step 2: Convert to fraction form
    1,232.56/1,700.52 = 766.78/x
  3. Step 3: Cross multiply
    1,232.56x = 1,700.52 × 766.78
  4. Step 4: Simplify right side
    1,232.56x = 1,303,924.73
  5. Step 5: Solve for x
    x = 1,303,924.73/1,232.56
  6. Step 6: Final answer
    x = 1,057.90

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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.