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Finding the Fourth Proportional to 799.34, 1,197.93 and 360.51

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Solution

The fourth proportional to 799.34, 1,197.93 and 360.51 is: 540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.34 : 1,197.93 = 360.51 : x
  2. Step 2: Convert to fraction form
    799.34/1,197.93 = 360.51/x
  3. Step 3: Cross multiply
    799.34x = 1,197.93 × 360.51
  4. Step 4: Simplify right side
    799.34x = 431,865.74
  5. Step 5: Solve for x
    x = 431,865.74/799.34
  6. Step 6: Final answer
    x = 540.28

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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.