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Finding the Fourth Proportional to 969.24, 1,336.14 and 735.96

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Solution

The fourth proportional to 969.24, 1,336.14 and 735.96 is: 1,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.24 : 1,336.14 = 735.96 : x
  2. Step 2: Convert to fraction form
    969.24/1,336.14 = 735.96/x
  3. Step 3: Cross multiply
    969.24x = 1,336.14 × 735.96
  4. Step 4: Simplify right side
    969.24x = 983,345.59
  5. Step 5: Solve for x
    x = 983,345.59/969.24
  6. Step 6: Final answer
    x = 1,014.55

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Why These Related Problems?

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