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Finding the Fourth Proportional to 965.92, 1,450.86 and 637.34

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Solution

The fourth proportional to 965.92, 1,450.86 and 637.34 is: 957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.92 : 1,450.86 = 637.34 : x
  2. Step 2: Convert to fraction form
    965.92/1,450.86 = 637.34/x
  3. Step 3: Cross multiply
    965.92x = 1,450.86 × 637.34
  4. Step 4: Simplify right side
    965.92x = 924,683.86
  5. Step 5: Solve for x
    x = 924,683.86/965.92
  6. Step 6: Final answer
    x = 957.31

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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.