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Finding the Fourth Proportional to 919.80, 1,266.57 and 697.86

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Solution

The fourth proportional to 919.80, 1,266.57 and 697.86 is: 960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.80 : 1,266.57 = 697.86 : x
  2. Step 2: Convert to fraction form
    919.80/1,266.57 = 697.86/x
  3. Step 3: Cross multiply
    919.80x = 1,266.57 × 697.86
  4. Step 4: Simplify right side
    919.80x = 883,888.54
  5. Step 5: Solve for x
    x = 883,888.54/919.80
  6. Step 6: Final answer
    x = 960.96

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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.