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Finding the Fourth Proportional to 1,297.10, 1,786.86 and 964.94

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Solution

The fourth proportional to 1,297.10, 1,786.86 and 964.94 is: 1,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.10 : 1,786.86 = 964.94 : x
  2. Step 2: Convert to fraction form
    1,297.10/1,786.86 = 964.94/x
  3. Step 3: Cross multiply
    1,297.10x = 1,786.86 × 964.94
  4. Step 4: Simplify right side
    1,297.10x = 1,724,212.69
  5. Step 5: Solve for x
    x = 1,724,212.69/1,297.10
  6. Step 6: Final answer
    x = 1,329.28

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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.