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Finding the Fourth Proportional to 969.43, 1,451.75 and 907.92

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Solution

The fourth proportional to 969.43, 1,451.75 and 907.92 is: 1,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.43 : 1,451.75 = 907.92 : x
  2. Step 2: Convert to fraction form
    969.43/1,451.75 = 907.92/x
  3. Step 3: Cross multiply
    969.43x = 1,451.75 × 907.92
  4. Step 4: Simplify right side
    969.43x = 1,318,072.86
  5. Step 5: Solve for x
    x = 1,318,072.86/969.43
  6. Step 6: Final answer
    x = 1,359.64

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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.