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Finding the Fourth Proportional to 965.98, 1,448.70 and 316.63

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Solution

The fourth proportional to 965.98, 1,448.70 and 316.63 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,448.70 = 316.63 : x
  2. Step 2: Convert to fraction form
    965.98/1,448.70 = 316.63/x
  3. Step 3: Cross multiply
    965.98x = 1,448.70 × 316.63
  4. Step 4: Simplify right side
    965.98x = 458,701.88
  5. Step 5: Solve for x
    x = 458,701.88/965.98
  6. Step 6: Final answer
    x = 474.86

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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.