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Finding the Fourth Proportional to 960.39, 1,438.65 and 465.84

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Solution

The fourth proportional to 960.39, 1,438.65 and 465.84 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.39 : 1,438.65 = 465.84 : x
  2. Step 2: Convert to fraction form
    960.39/1,438.65 = 465.84/x
  3. Step 3: Cross multiply
    960.39x = 1,438.65 × 465.84
  4. Step 4: Simplify right side
    960.39x = 670,180.72
  5. Step 5: Solve for x
    x = 670,180.72/960.39
  6. Step 6: Final answer
    x = 697.82

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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.