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Finding the Fourth Proportional to 1,199.74, 1,799.81 and 419.96

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Solution

The fourth proportional to 1,199.74, 1,799.81 and 419.96 is: 630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.74 : 1,799.81 = 419.96 : x
  2. Step 2: Convert to fraction form
    1,199.74/1,799.81 = 419.96/x
  3. Step 3: Cross multiply
    1,199.74x = 1,799.81 × 419.96
  4. Step 4: Simplify right side
    1,199.74x = 755,848.21
  5. Step 5: Solve for x
    x = 755,848.21/1,199.74
  6. Step 6: Final answer
    x = 630.01

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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.