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Finding the Fourth Proportional to 1,199.37, 1,797.53 and 540.54

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Solution

The fourth proportional to 1,199.37, 1,797.53 and 540.54 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.37 : 1,797.53 = 540.54 : x
  2. Step 2: Convert to fraction form
    1,199.37/1,797.53 = 540.54/x
  3. Step 3: Cross multiply
    1,199.37x = 1,797.53 × 540.54
  4. Step 4: Simplify right side
    1,199.37x = 971,636.87
  5. Step 5: Solve for x
    x = 971,636.87/1,199.37
  6. Step 6: Final answer
    x = 810.12

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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.