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Finding the Fourth Proportional to 965.14, 1,447.86 and 315.72

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Solution

The fourth proportional to 965.14, 1,447.86 and 315.72 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.14 : 1,447.86 = 315.72 : x
  2. Step 2: Convert to fraction form
    965.14/1,447.86 = 315.72/x
  3. Step 3: Cross multiply
    965.14x = 1,447.86 × 315.72
  4. Step 4: Simplify right side
    965.14x = 457,118.36
  5. Step 5: Solve for x
    x = 457,118.36/965.14
  6. Step 6: Final answer
    x = 473.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.