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Finding the Fourth Proportional to 1,133.44, 1,563.96 and 667.78

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Solution

The fourth proportional to 1,133.44, 1,563.96 and 667.78 is: 921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.44 : 1,563.96 = 667.78 : x
  2. Step 2: Convert to fraction form
    1,133.44/1,563.96 = 667.78/x
  3. Step 3: Cross multiply
    1,133.44x = 1,563.96 × 667.78
  4. Step 4: Simplify right side
    1,133.44x = 1,044,381.21
  5. Step 5: Solve for x
    x = 1,044,381.21/1,133.44
  6. Step 6: Final answer
    x = 921.43

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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.