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Finding the Fourth Proportional to 1,192.45, 1,789.60 and 781.48

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Solution

The fourth proportional to 1,192.45, 1,789.60 and 781.48 is: 1,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.45 : 1,789.60 = 781.48 : x
  2. Step 2: Convert to fraction form
    1,192.45/1,789.60 = 781.48/x
  3. Step 3: Cross multiply
    1,192.45x = 1,789.60 × 781.48
  4. Step 4: Simplify right side
    1,192.45x = 1,398,527.66
  5. Step 5: Solve for x
    x = 1,398,527.66/1,192.45
  6. Step 6: Final answer
    x = 1,172.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.