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Finding the Fourth Proportional to 964.97, 1,446.56 and 706.24

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Solution

The fourth proportional to 964.97, 1,446.56 and 706.24 is: 1,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.97 : 1,446.56 = 706.24 : x
  2. Step 2: Convert to fraction form
    964.97/1,446.56 = 706.24/x
  3. Step 3: Cross multiply
    964.97x = 1,446.56 × 706.24
  4. Step 4: Simplify right side
    964.97x = 1,021,611.39
  5. Step 5: Solve for x
    x = 1,021,611.39/964.97
  6. Step 6: Final answer
    x = 1,058.70

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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.