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Finding the Fourth Proportional to 1,199.42, 1,799.58 and 506.28

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Solution

The fourth proportional to 1,199.42, 1,799.58 and 506.28 is: 759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.42 : 1,799.58 = 506.28 : x
  2. Step 2: Convert to fraction form
    1,199.42/1,799.58 = 506.28/x
  3. Step 3: Cross multiply
    1,199.42x = 1,799.58 × 506.28
  4. Step 4: Simplify right side
    1,199.42x = 911,091.36
  5. Step 5: Solve for x
    x = 911,091.36/1,199.42
  6. Step 6: Final answer
    x = 759.61

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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.