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Finding the Fourth Proportional to 1,199.05, 1,798.65 and 419.14

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Solution

The fourth proportional to 1,199.05, 1,798.65 and 419.14 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.05 : 1,798.65 = 419.14 : x
  2. Step 2: Convert to fraction form
    1,199.05/1,798.65 = 419.14/x
  3. Step 3: Cross multiply
    1,199.05x = 1,798.65 × 419.14
  4. Step 4: Simplify right side
    1,199.05x = 753,886.16
  5. Step 5: Solve for x
    x = 753,886.16/1,199.05
  6. Step 6: Final answer
    x = 628.74

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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.