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Finding the Fourth Proportional to 969.48, 1,336.96 and 637.76

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Solution

The fourth proportional to 969.48, 1,336.96 and 637.76 is: 879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.48 : 1,336.96 = 637.76 : x
  2. Step 2: Convert to fraction form
    969.48/1,336.96 = 637.76/x
  3. Step 3: Cross multiply
    969.48x = 1,336.96 × 637.76
  4. Step 4: Simplify right side
    969.48x = 852,659.61
  5. Step 5: Solve for x
    x = 852,659.61/969.48
  6. Step 6: Final answer
    x = 879.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.