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Finding the Fourth Proportional to 964.67, 1,447.14 and 387.50

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Solution

The fourth proportional to 964.67, 1,447.14 and 387.50 is: 581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.67 : 1,447.14 = 387.50 : x
  2. Step 2: Convert to fraction form
    964.67/1,447.14 = 387.50/x
  3. Step 3: Cross multiply
    964.67x = 1,447.14 × 387.50
  4. Step 4: Simplify right side
    964.67x = 560,766.75
  5. Step 5: Solve for x
    x = 560,766.75/964.67
  6. Step 6: Final answer
    x = 581.30

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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.