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Finding the Fourth Proportional to 969.28, 1,456.64 and 903.68

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Solution

The fourth proportional to 969.28, 1,456.64 and 903.68 is: 1,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.28 : 1,456.64 = 903.68 : x
  2. Step 2: Convert to fraction form
    969.28/1,456.64 = 903.68/x
  3. Step 3: Cross multiply
    969.28x = 1,456.64 × 903.68
  4. Step 4: Simplify right side
    969.28x = 1,316,336.44
  5. Step 5: Solve for x
    x = 1,316,336.44/969.28
  6. Step 6: Final answer
    x = 1,358.06

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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.