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Finding the Fourth Proportional to 1,025.10, 1,538.26 and 960.24

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Solution

The fourth proportional to 1,025.10, 1,538.26 and 960.24 is: 1,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.10 : 1,538.26 = 960.24 : x
  2. Step 2: Convert to fraction form
    1,025.10/1,538.26 = 960.24/x
  3. Step 3: Cross multiply
    1,025.10x = 1,538.26 × 960.24
  4. Step 4: Simplify right side
    1,025.10x = 1,477,090.61
  5. Step 5: Solve for x
    x = 1,477,090.61/1,025.10
  6. Step 6: Final answer
    x = 1,440.92

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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.