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Finding the Fourth Proportional to 965.82, 1,447.86 and 316.14

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Solution

The fourth proportional to 965.82, 1,447.86 and 316.14 is: 473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.82 : 1,447.86 = 316.14 : x
  2. Step 2: Convert to fraction form
    965.82/1,447.86 = 316.14/x
  3. Step 3: Cross multiply
    965.82x = 1,447.86 × 316.14
  4. Step 4: Simplify right side
    965.82x = 457,726.46
  5. Step 5: Solve for x
    x = 457,726.46/965.82
  6. Step 6: Final answer
    x = 473.93

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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.