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Finding the Fourth Proportional to 1,192.85, 1,646.21 and 668.96

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Solution

The fourth proportional to 1,192.85, 1,646.21 and 668.96 is: 923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.85 : 1,646.21 = 668.96 : x
  2. Step 2: Convert to fraction form
    1,192.85/1,646.21 = 668.96/x
  3. Step 3: Cross multiply
    1,192.85x = 1,646.21 × 668.96
  4. Step 4: Simplify right side
    1,192.85x = 1,101,245.30
  5. Step 5: Solve for x
    x = 1,101,245.30/1,192.85
  6. Step 6: Final answer
    x = 923.21

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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.