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Finding the Fourth Proportional to 1,199.76, 1,799.64 and 469.54

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Solution

The fourth proportional to 1,199.76, 1,799.64 and 469.54 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.76 : 1,799.64 = 469.54 : x
  2. Step 2: Convert to fraction form
    1,199.76/1,799.64 = 469.54/x
  3. Step 3: Cross multiply
    1,199.76x = 1,799.64 × 469.54
  4. Step 4: Simplify right side
    1,199.76x = 845,002.97
  5. Step 5: Solve for x
    x = 845,002.97/1,199.76
  6. Step 6: Final answer
    x = 704.31

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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.