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Finding the Fourth Proportional to 1,288.89, 1,776.80 and 791.21

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Solution

The fourth proportional to 1,288.89, 1,776.80 and 791.21 is: 1,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.89 : 1,776.80 = 791.21 : x
  2. Step 2: Convert to fraction form
    1,288.89/1,776.80 = 791.21/x
  3. Step 3: Cross multiply
    1,288.89x = 1,776.80 × 791.21
  4. Step 4: Simplify right side
    1,288.89x = 1,405,828.35
  5. Step 5: Solve for x
    x = 1,405,828.35/1,288.89
  6. Step 6: Final answer
    x = 1,090.73

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1.5x scale

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.