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Finding the Fourth Proportional to 1,192.12, 1,645.08 and 668.08

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Solution

The fourth proportional to 1,192.12, 1,645.08 and 668.08 is: 921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.12 : 1,645.08 = 668.08 : x
  2. Step 2: Convert to fraction form
    1,192.12/1,645.08 = 668.08/x
  3. Step 3: Cross multiply
    1,192.12x = 1,645.08 × 668.08
  4. Step 4: Simplify right side
    1,192.12x = 1,099,045.05
  5. Step 5: Solve for x
    x = 1,099,045.05/1,192.12
  6. Step 6: Final answer
    x = 921.92

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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.