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Finding the Fourth Proportional to 1,199.60, 1,799.65 and 506.27

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Solution

The fourth proportional to 1,199.60, 1,799.65 and 506.27 is: 759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.60 : 1,799.65 = 506.27 : x
  2. Step 2: Convert to fraction form
    1,199.60/1,799.65 = 506.27/x
  3. Step 3: Cross multiply
    1,199.60x = 1,799.65 × 506.27
  4. Step 4: Simplify right side
    1,199.60x = 911,108.81
  5. Step 5: Solve for x
    x = 911,108.81/1,199.60
  6. Step 6: Final answer
    x = 759.51

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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.