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Finding the Fourth Proportional to 969.06, 1,453.92 and 420.96

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Solution

The fourth proportional to 969.06, 1,453.92 and 420.96 is: 631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,453.92 = 420.96 : x
  2. Step 2: Convert to fraction form
    969.06/1,453.92 = 420.96/x
  3. Step 3: Cross multiply
    969.06x = 1,453.92 × 420.96
  4. Step 4: Simplify right side
    969.06x = 612,042.16
  5. Step 5: Solve for x
    x = 612,042.16/969.06
  6. Step 6: Final answer
    x = 631.58

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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.