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Finding the Fourth Proportional to 1,091.85, 1,505.84 and 698.73

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Solution

The fourth proportional to 1,091.85, 1,505.84 and 698.73 is: 963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.85 : 1,505.84 = 698.73 : x
  2. Step 2: Convert to fraction form
    1,091.85/1,505.84 = 698.73/x
  3. Step 3: Cross multiply
    1,091.85x = 1,505.84 × 698.73
  4. Step 4: Simplify right side
    1,091.85x = 1,052,172.09
  5. Step 5: Solve for x
    x = 1,052,172.09/1,091.85
  6. Step 6: Final answer
    x = 963.66

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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.