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Finding the Fourth Proportional to 799.48, 1,199.94 and 746.20

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Solution

The fourth proportional to 799.48, 1,199.94 and 746.20 is: 1,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.48 : 1,199.94 = 746.20 : x
  2. Step 2: Convert to fraction form
    799.48/1,199.94 = 746.20/x
  3. Step 3: Cross multiply
    799.48x = 1,199.94 × 746.20
  4. Step 4: Simplify right side
    799.48x = 895,395.23
  5. Step 5: Solve for x
    x = 895,395.23/799.48
  6. Step 6: Final answer
    x = 1,119.97

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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.