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Finding the Fourth Proportional to 1,015.45, 1,525.14 and 960.27

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Solution

The fourth proportional to 1,015.45, 1,525.14 and 960.27 is: 1,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.45 : 1,525.14 = 960.27 : x
  2. Step 2: Convert to fraction form
    1,015.45/1,525.14 = 960.27/x
  3. Step 3: Cross multiply
    1,015.45x = 1,525.14 × 960.27
  4. Step 4: Simplify right side
    1,015.45x = 1,464,546.19
  5. Step 5: Solve for x
    x = 1,464,546.19/1,015.45
  6. Step 6: Final answer
    x = 1,442.26

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Why These Related Problems?

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