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Finding the Fourth Proportional to 965.35, 1,446.10 and 444.63

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Solution

The fourth proportional to 965.35, 1,446.10 and 444.63 is: 666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.35 : 1,446.10 = 444.63 : x
  2. Step 2: Convert to fraction form
    965.35/1,446.10 = 444.63/x
  3. Step 3: Cross multiply
    965.35x = 1,446.10 × 444.63
  4. Step 4: Simplify right side
    965.35x = 642,977.22
  5. Step 5: Solve for x
    x = 642,977.22/965.35
  6. Step 6: Final answer
    x = 666.06

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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.