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Finding the Fourth Proportional to 1,185.56, 1,635.48 and 766.26

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Solution

The fourth proportional to 1,185.56, 1,635.48 and 766.26 is: 1,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.56 : 1,635.48 = 766.26 : x
  2. Step 2: Convert to fraction form
    1,185.56/1,635.48 = 766.26/x
  3. Step 3: Cross multiply
    1,185.56x = 1,635.48 × 766.26
  4. Step 4: Simplify right side
    1,185.56x = 1,253,202.90
  5. Step 5: Solve for x
    x = 1,253,202.90/1,185.56
  6. Step 6: Final answer
    x = 1,057.06

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1.5x scale

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.