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Finding the Fourth Proportional to 969.97, 1,455.28 and 706.66

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Solution

The fourth proportional to 969.97, 1,455.28 and 706.66 is: 1,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.97 : 1,455.28 = 706.66 : x
  2. Step 2: Convert to fraction form
    969.97/1,455.28 = 706.66/x
  3. Step 3: Cross multiply
    969.97x = 1,455.28 × 706.66
  4. Step 4: Simplify right side
    969.97x = 1,028,388.16
  5. Step 5: Solve for x
    x = 1,028,388.16/969.97
  6. Step 6: Final answer
    x = 1,060.23

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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.