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Finding the Fourth Proportional to 1,035.75, 1,544.48 and 960.42

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Solution

The fourth proportional to 1,035.75, 1,544.48 and 960.42 is: 1,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.75 : 1,544.48 = 960.42 : x
  2. Step 2: Convert to fraction form
    1,035.75/1,544.48 = 960.42/x
  3. Step 3: Cross multiply
    1,035.75x = 1,544.48 × 960.42
  4. Step 4: Simplify right side
    1,035.75x = 1,483,351.88
  5. Step 5: Solve for x
    x = 1,483,351.88/1,035.75
  6. Step 6: Final answer
    x = 1,432.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.