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Finding the Fourth Proportional to 960.42, 1,325.73 and 624.78

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Solution

The fourth proportional to 960.42, 1,325.73 and 624.78 is: 862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.42 : 1,325.73 = 624.78 : x
  2. Step 2: Convert to fraction form
    960.42/1,325.73 = 624.78/x
  3. Step 3: Cross multiply
    960.42x = 1,325.73 × 624.78
  4. Step 4: Simplify right side
    960.42x = 828,289.59
  5. Step 5: Solve for x
    x = 828,289.59/960.42
  6. Step 6: Final answer
    x = 862.42

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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.