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Finding the Fourth Proportional to 960.46, 1,438.86 and 472.94

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Solution

The fourth proportional to 960.46, 1,438.86 and 472.94 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.46 : 1,438.86 = 472.94 : x
  2. Step 2: Convert to fraction form
    960.46/1,438.86 = 472.94/x
  3. Step 3: Cross multiply
    960.46x = 1,438.86 × 472.94
  4. Step 4: Simplify right side
    960.46x = 680,494.42
  5. Step 5: Solve for x
    x = 680,494.42/960.46
  6. Step 6: Final answer
    x = 708.51

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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.