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Finding the Fourth Proportional to 964.76, 1,447.12 and 280.76

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Solution

The fourth proportional to 964.76, 1,447.12 and 280.76 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.76 : 1,447.12 = 280.76 : x
  2. Step 2: Convert to fraction form
    964.76/1,447.12 = 280.76/x
  3. Step 3: Cross multiply
    964.76x = 1,447.12 × 280.76
  4. Step 4: Simplify right side
    964.76x = 406,293.41
  5. Step 5: Solve for x
    x = 406,293.41/964.76
  6. Step 6: Final answer
    x = 421.13

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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.