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Finding the Fourth Proportional to 1,020.20, 1,525.60 and 760.37

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Solution

The fourth proportional to 1,020.20, 1,525.60 and 760.37 is: 1,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.20 : 1,525.60 = 760.37 : x
  2. Step 2: Convert to fraction form
    1,020.20/1,525.60 = 760.37/x
  3. Step 3: Cross multiply
    1,020.20x = 1,525.60 × 760.37
  4. Step 4: Simplify right side
    1,020.20x = 1,160,022.38
  5. Step 5: Solve for x
    x = 1,160,022.38/1,020.20
  6. Step 6: Final answer
    x = 1,137.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.