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Finding the Fourth Proportional to 1,011, 1,390.86 and 967.80

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Solution

The fourth proportional to 1,011, 1,390.86 and 967.80 is: 1,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011 : 1,390.86 = 967.80 : x
  2. Step 2: Convert to fraction form
    1,011/1,390.86 = 967.80/x
  3. Step 3: Cross multiply
    1,011x = 1,390.86 × 967.80
  4. Step 4: Simplify right side
    1,011x = 1,346,074.31
  5. Step 5: Solve for x
    x = 1,346,074.31/1,011
  6. Step 6: Final answer
    x = 1,331.43

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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.