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Finding the Fourth Proportional to 1,192.45, 1,645.60 and 772.97

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Solution

The fourth proportional to 1,192.45, 1,645.60 and 772.97 is: 1,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.45 : 1,645.60 = 772.97 : x
  2. Step 2: Convert to fraction form
    1,192.45/1,645.60 = 772.97/x
  3. Step 3: Cross multiply
    1,192.45x = 1,645.60 × 772.97
  4. Step 4: Simplify right side
    1,192.45x = 1,271,997.50
  5. Step 5: Solve for x
    x = 1,271,997.50/1,192.45
  6. Step 6: Final answer
    x = 1,066.71

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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.