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Finding the Fourth Proportional to 964.67, 1,447.19 and 315.23

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Solution

The fourth proportional to 964.67, 1,447.19 and 315.23 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.67 : 1,447.19 = 315.23 : x
  2. Step 2: Convert to fraction form
    964.67/1,447.19 = 315.23/x
  3. Step 3: Cross multiply
    964.67x = 1,447.19 × 315.23
  4. Step 4: Simplify right side
    964.67x = 456,197.70
  5. Step 5: Solve for x
    x = 456,197.70/964.67
  6. Step 6: Final answer
    x = 472.91

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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.